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Finding the Third Proportional to 61,770,034 and 131,747,744

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Solution

The third proportional to 61,770,034 and 131,747,744 is: 281,001,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,770,034 : 131,747,744 = 131,747,744 : x
  2. Step 2: Convert to fraction form
    61,770,034/131,747,744 = 131,747,744/x
  3. Step 3: Cross multiply
    61,770,034x = 131,747,744 × 131,747,744
  4. Step 4: Simplify right side
    61,770,034x = 17,357,468,049,089,536
  5. Step 5: Solve for x
    x = 17,357,468,049,089,536/61,770,034
  6. Step 6: Final answer
    x = 281,001,432.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.