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Finding the Third Proportional to 61,536,744 and 131,309,856

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Solution

The third proportional to 61,536,744 and 131,309,856 is: 280,194,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536,744 : 131,309,856 = 131,309,856 : x
  2. Step 2: Convert to fraction form
    61,536,744/131,309,856 = 131,309,856/x
  3. Step 3: Cross multiply
    61,536,744x = 131,309,856 × 131,309,856
  4. Step 4: Simplify right side
    61,536,744x = 17,242,278,282,740,736
  5. Step 5: Solve for x
    x = 17,242,278,282,740,736/61,536,744
  6. Step 6: Final answer
    x = 280,194,842.33

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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.