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Finding the Third Proportional to 57,421,098 and 126,002,376

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Solution

The third proportional to 57,421,098 and 126,002,376 is: 276,494,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,421,098 : 126,002,376 = 126,002,376 : x
  2. Step 2: Convert to fraction form
    57,421,098/126,002,376 = 126,002,376/x
  3. Step 3: Cross multiply
    57,421,098x = 126,002,376 × 126,002,376
  4. Step 4: Simplify right side
    57,421,098x = 15,876,598,757,645,376
  5. Step 5: Solve for x
    x = 15,876,598,757,645,376/57,421,098
  6. Step 6: Final answer
    x = 276,494,168.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.