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Finding the Third Proportional to 410,791,660.50 and 636,306,463.50

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Solution

The third proportional to 410,791,660.50 and 636,306,463.50 is: 985,623,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,791,660.50 : 636,306,463.50 = 636,306,463.50 : x
  2. Step 2: Convert to fraction form
    410,791,660.50/636,306,463.50 = 636,306,463.50/x
  3. Step 3: Cross multiply
    410,791,660.50x = 636,306,463.50 × 636,306,463.50
  4. Step 4: Simplify right side
    410,791,660.50x = 404,885,915,491,876,864
  5. Step 5: Solve for x
    x = 404,885,915,491,876,864/410,791,660.50
  6. Step 6: Final answer
    x = 985,623,503.16

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Why These Related Problems?

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