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A reaction mixture was found to be composed of ketones, A, B, C. Ketone A was found to have an elemental analysis of C, 66.63% and H, 11.18%. The molecular weight of A was found to be 72.06 g mol^-1. Ketones B and C were found to have identical elemental analyses, which were C, 69.72 and H, 11.70%. The molecular weight of B and C was found to be 86.13 g mol^-1. Calculate the empirical and molecular formula of A and B (C).

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