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Finding the Third Proportional to 8,177,496 and 17,840,349

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Solution

The third proportional to 8,177,496 and 17,840,349 is: 38,921,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,496 : 17,840,349 = 17,840,349 : x
  2. Step 2: Convert to fraction form
    8,177,496/17,840,349 = 17,840,349/x
  3. Step 3: Cross multiply
    8,177,496x = 17,840,349 × 17,840,349
  4. Step 4: Simplify right side
    8,177,496x = 318,278,052,441,801
  5. Step 5: Solve for x
    x = 318,278,052,441,801/8,177,496
  6. Step 6: Final answer
    x = 38,921,211.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.