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Finding the Third Proportional to 334,581,384.38 and 724,747,560.75

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Solution

The third proportional to 334,581,384.38 and 724,747,560.75 is: 1,569,899,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,581,384.38 : 724,747,560.75 = 724,747,560.75 : x
  2. Step 2: Convert to fraction form
    334,581,384.38/724,747,560.75 = 724,747,560.75/x
  3. Step 3: Cross multiply
    334,581,384.38x = 724,747,560.75 × 724,747,560.75
  4. Step 4: Simplify right side
    334,581,384.38x = 525,259,026,813,074,944
  5. Step 5: Solve for x
    x = 525,259,026,813,074,944/334,581,384.38
  6. Step 6: Final answer
    x = 1,569,899,137.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.