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Finding the Third Proportional to 41,727,171 and 63,829,965

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Solution

The third proportional to 41,727,171 and 63,829,965 is: 97,640,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,727,171 : 63,829,965 = 63,829,965 : x
  2. Step 2: Convert to fraction form
    41,727,171/63,829,965 = 63,829,965/x
  3. Step 3: Cross multiply
    41,727,171x = 63,829,965 × 63,829,965
  4. Step 4: Simplify right side
    41,727,171x = 4,074,264,431,901,225
  5. Step 5: Solve for x
    x = 4,074,264,431,901,225/41,727,171
  6. Step 6: Final answer
    x = 97,640,562.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.