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Finding the Third Proportional to 41,381,849 and 97,548,561

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Solution

The third proportional to 41,381,849 and 97,548,561 is: 229,949,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,381,849 : 97,548,561 = 97,548,561 : x
  2. Step 2: Convert to fraction form
    41,381,849/97,548,561 = 97,548,561/x
  3. Step 3: Cross multiply
    41,381,849x = 97,548,561 × 97,548,561
  4. Step 4: Simplify right side
    41,381,849x = 9,515,721,753,170,720
  5. Step 5: Solve for x
    x = 9,515,721,753,170,720/41,381,849
  6. Step 6: Final answer
    x = 229,949,168.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.