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et al. ; We present the final combination of CDF and D0 measurements of cross sections for single-top-quark production in proton-antiproton collisions at a center-of-mass energy of 1.96 TeV. The data correspond to total integrated luminosities of up to 9.7 fb−1 per experiment. The t-channel cross section is measured to be σt=2.25+0.29−0.31 pb. We also present the combinations of the two-dimensional measurements of the s- vs t-channel cross section. In addition, we give the combination of the s+t channel cross section measurement resulting in σs+t=3.30+0.52−0.40 pb, without assuming the standard model value for the ratio σs/σt. The resulting value of the magnitude of the top-to-bottom quark coupling is |Vtb|=1.02+0.06−0.05, corresponding to |Vtb|>0.92 at the 95% C.L. ; We acknowledge support from the Department of Energy and the National Science Foundation (U.S.A.), the Australian Research Council (Australia), the National Council for the Development of Science and Technology and the Carlos Chagas Filho Foundation for the Support of Research in the State of Rio de Janeiro (Brazil), the Natural Sciences and Engineering Research Council (Canada), the China Academy of Sciences, the National Natural Science Foundation of China, and the National Science Council of the Republic of China (China), the Administrative Department of Science, Technology and Innovation (Colombia), the Ministry of Education, Youth and Sports (Czech Republic), the Academy of Finland, the Alternative Energies and Atomic Energy Commission and the National Center for Scientific Research/National Institute of Nuclear and Particle Physics (France), the Bundesministerium für Bildung und Forschung (Federal Ministry of Education and Research) and the Deutsche Forschungsgemeinschaft (German Research Foundation) (Germany), the Department of Atomic Energy and Department of Science and Technology (India), the Science Foundation Ireland (Ireland), the National Institute for Nuclear Physics (Italy), the Ministry of Education, Culture, Sports, Science and Technology (Japan), the Korean World Class University Program and the National Research Foundation of Korea (Korea), the National Council of Science and Technology (Mexico), the Foundation for Fundamental Research on Matter (Netherlands), the Ministry of Education and Science of the Russian Federation, the National Research Center "Kurchatov Institute" of the Russian Federation, and the Russian Foundation for Basic Research (Russia), the Slovak R&D Agency (Slovakia), the Ministry of Science and Innovation, and the Consolider-Ingenio 2010 Program (Spain), the Swedish Research Council (Sweden), the Swiss National Science Foundation (Switzerland), the Ministry of Education and Science of Ukraine (Ukraine), the Science and Technology Facilities Council and the The Royal Society (United Kingdom), the A. P. Sloan Foundation (U.S.A.), and the European Union community Marie Curie Fellowship Contract No. 302103. ; Peer Reviewed