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To find the two numbers that multiply to 72 and add up to 26, we can set up a system of equations. Let the two numbers be x and y. We know that xy = 72 and x + y = 26. By solving these equations simultaneously, we can find that the two numbers are 18 and 8. This is because 18 * 8 = 144 and 18 + 8 = 26.