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Finding the Third Proportional to 17,524,518 and 38,347,357

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Solution

The third proportional to 17,524,518 and 38,347,357 is: 83,912,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524,518 : 38,347,357 = 38,347,357 : x
  2. Step 2: Convert to fraction form
    17,524,518/38,347,357 = 38,347,357/x
  3. Step 3: Cross multiply
    17,524,518x = 38,347,357 × 38,347,357
  4. Step 4: Simplify right side
    17,524,518x = 1,470,519,788,885,449
  5. Step 5: Solve for x
    x = 1,470,519,788,885,449/17,524,518
  6. Step 6: Final answer
    x = 83,912,138.92

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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.