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Finding the Third Proportional to 61,508,221 and 135,294,745

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Solution

The third proportional to 61,508,221 and 135,294,745 is: 297,597,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,508,221 : 135,294,745 = 135,294,745 : x
  2. Step 2: Convert to fraction form
    61,508,221/135,294,745 = 135,294,745/x
  3. Step 3: Cross multiply
    61,508,221x = 135,294,745 × 135,294,745
  4. Step 4: Simplify right side
    61,508,221x = 18,304,668,024,615,024
  5. Step 5: Solve for x
    x = 18,304,668,024,615,024/61,508,221
  6. Step 6: Final answer
    x = 297,597,097.22

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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.