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Finding the Third Proportional to 61,536,074 and 131,308,564

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Solution

The third proportional to 61,536,074 and 131,308,564 is: 280,192,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536,074 : 131,308,564 = 131,308,564 : x
  2. Step 2: Convert to fraction form
    61,536,074/131,308,564 = 131,308,564/x
  3. Step 3: Cross multiply
    61,536,074x = 131,308,564 × 131,308,564
  4. Step 4: Simplify right side
    61,536,074x = 17,241,938,979,742,096
  5. Step 5: Solve for x
    x = 17,241,938,979,742,096/61,536,074
  6. Step 6: Final answer
    x = 280,192,379.18

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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.