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Finding the Third Proportional to 8,177,416 and 17,786,588

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Solution

The third proportional to 8,177,416 and 17,786,588 is: 38,687,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,416 : 17,786,588 = 17,786,588 : x
  2. Step 2: Convert to fraction form
    8,177,416/17,786,588 = 17,786,588/x
  3. Step 3: Cross multiply
    8,177,416x = 17,786,588 × 17,786,588
  4. Step 4: Simplify right side
    8,177,416x = 316,362,712,681,744
  5. Step 5: Solve for x
    x = 316,362,712,681,744/8,177,416
  6. Step 6: Final answer
    x = 38,687,369.30

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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.