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Finding the Third Proportional to 8,177,498 and 17,840,352

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Solution

The third proportional to 8,177,498 and 17,840,352 is: 38,921,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,498 : 17,840,352 = 17,840,352 : x
  2. Step 2: Convert to fraction form
    8,177,498/17,840,352 = 17,840,352/x
  3. Step 3: Cross multiply
    8,177,498x = 17,840,352 × 17,840,352
  4. Step 4: Simplify right side
    8,177,498x = 318,278,159,483,904
  5. Step 5: Solve for x
    x = 318,278,159,483,904/8,177,498
  6. Step 6: Final answer
    x = 38,921,215.20

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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.