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Finding the Third Proportional to 410,791,662 and 636,306,464

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Solution

The third proportional to 410,791,662 and 636,306,464 is: 985,623,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,791,662 : 636,306,464 = 636,306,464 : x
  2. Step 2: Convert to fraction form
    410,791,662/636,306,464 = 636,306,464/x
  3. Step 3: Cross multiply
    410,791,662x = 636,306,464 × 636,306,464
  4. Step 4: Simplify right side
    410,791,662x = 404,885,916,128,183,296
  5. Step 5: Solve for x
    x = 404,885,916,128,183,296/410,791,662
  6. Step 6: Final answer
    x = 985,623,501.11

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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.