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Finding the Third Proportional to 428,313,857,448.08 and 647,979,489,252.30

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Solution

The third proportional to 428,313,857,448.08 and 647,979,489,252.30 is: 980,303,137,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,313,857,448.08 : 647,979,489,252.30 = 647,979,489,252.30 : x
  2. Step 2: Convert to fraction form
    428,313,857,448.08/647,979,489,252.30 = 647,979,489,252.30/x
  3. Step 3: Cross multiply
    428,313,857,448.08x = 647,979,489,252.30 × 647,979,489,252.30
  4. Step 4: Simplify right side
    428,313,857,448.08x = 419,877,418,491,671,656,529,920
  5. Step 5: Solve for x
    x = 419,877,418,491,671,656,529,920/428,313,857,448.08
  6. Step 6: Final answer
    x = 980,303,137,968.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.