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Answer:2000 atomsExplanation:We are given the following;Initial number of atoms of radium-226 as 8000 atomsTime taken for the decay 3200 yearsWe are required to determine the number of atoms that will remain after 3200 years.We need to know the half life of RadiumHalf life is the time taken by a radio active material to decay by half of its initial amount.Half life of Radium-226 is 1600 yearsTherefore, using the formula;Remaining amount = Original amount × 0.5^nwhere n is the number of half livesn = 3200 years ÷ 1600 years= 2Therefore;Remaining amount = 8000 atoms × 0.5^2= 8000 × 0.25= 2000 atomsThus, the number of radium-226 that will remain after 3200 years is2000 atoms....