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Finding the Third Proportional to 61,327,872 and 135,099,774

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Solution

The third proportional to 61,327,872 and 135,099,774 is: 297,612,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327,872 : 135,099,774 = 135,099,774 : x
  2. Step 2: Convert to fraction form
    61,327,872/135,099,774 = 135,099,774/x
  3. Step 3: Cross multiply
    61,327,872x = 135,099,774 × 135,099,774
  4. Step 4: Simplify right side
    61,327,872x = 18,251,948,934,851,076
  5. Step 5: Solve for x
    x = 18,251,948,934,851,076/61,327,872
  6. Step 6: Final answer
    x = 297,612,624.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.