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Finding the Third Proportional to 542,069,463.38 and 731,378,974.50

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Solution

The third proportional to 542,069,463.38 and 731,378,974.50 is: 986,801,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,069,463.38 : 731,378,974.50 = 731,378,974.50 : x
  2. Step 2: Convert to fraction form
    542,069,463.38/731,378,974.50 = 731,378,974.50/x
  3. Step 3: Cross multiply
    542,069,463.38x = 731,378,974.50 × 731,378,974.50
  4. Step 4: Simplify right side
    542,069,463.38x = 534,915,204,340,671,680
  5. Step 5: Solve for x
    x = 534,915,204,340,671,680/542,069,463.38
  6. Step 6: Final answer
    x = 986,801,951.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.