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Finding the Third Proportional to 647,465,962.50 and 1,002,138,979.50

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Solution

The third proportional to 647,465,962.50 and 1,002,138,979.50 is: 1,551,097,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,465,962.50 : 1,002,138,979.50 = 1,002,138,979.50 : x
  2. Step 2: Convert to fraction form
    647,465,962.50/1,002,138,979.50 = 1,002,138,979.50/x
  3. Step 3: Cross multiply
    647,465,962.50x = 1,002,138,979.50 × 1,002,138,979.50
  4. Step 4: Simplify right side
    647,465,962.50x = 1,004,282,534,233,301,376
  5. Step 5: Solve for x
    x = 1,004,282,534,233,301,376/647,465,962.50
  6. Step 6: Final answer
    x = 1,551,097,034.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.