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Finding the Third Proportional to 393,726,096 and 861,563,304

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Solution

The third proportional to 393,726,096 and 861,563,304 is: 1,885,298,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,726,096 : 861,563,304 = 861,563,304 : x
  2. Step 2: Convert to fraction form
    393,726,096/861,563,304 = 861,563,304/x
  3. Step 3: Cross multiply
    393,726,096x = 861,563,304 × 861,563,304
  4. Step 4: Simplify right side
    393,726,096x = 742,291,326,799,396,352
  5. Step 5: Solve for x
    x = 742,291,326,799,396,352/393,726,096
  6. Step 6: Final answer
    x = 1,885,298,775.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.