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Finding the Third Proportional to 17,729,760 and 38,822,517

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Solution

The third proportional to 17,729,760 and 38,822,517 is: 85,008,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729,760 : 38,822,517 = 38,822,517 : x
  2. Step 2: Convert to fraction form
    17,729,760/38,822,517 = 38,822,517/x
  3. Step 3: Cross multiply
    17,729,760x = 38,822,517 × 38,822,517
  4. Step 4: Simplify right side
    17,729,760x = 1,507,187,826,215,289
  5. Step 5: Solve for x
    x = 1,507,187,826,215,289/17,729,760
  6. Step 6: Final answer
    x = 85,008,924.33

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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.