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Finding the Third Proportional to 38,337,694 and 82,521,238.75

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Solution

The third proportional to 38,337,694 and 82,521,238.75 is: 177,625,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337,694 : 82,521,238.75 = 82,521,238.75 : x
  2. Step 2: Convert to fraction form
    38,337,694/82,521,238.75 = 82,521,238.75/x
  3. Step 3: Cross multiply
    38,337,694x = 82,521,238.75 × 82,521,238.75
  4. Step 4: Simplify right side
    38,337,694x = 6,809,754,844,834,502
  5. Step 5: Solve for x
    x = 6,809,754,844,834,502/38,337,694
  6. Step 6: Final answer
    x = 177,625,572.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.