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Finding the Third Proportional to 38,352,233 and 82,396,498

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Solution

The third proportional to 38,352,233 and 82,396,498 is: 177,021,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352,233 : 82,396,498 = 82,396,498 : x
  2. Step 2: Convert to fraction form
    38,352,233/82,396,498 = 82,396,498/x
  3. Step 3: Cross multiply
    38,352,233x = 82,396,498 × 82,396,498
  4. Step 4: Simplify right side
    38,352,233x = 6,789,182,882,664,004
  5. Step 5: Solve for x
    x = 6,789,182,882,664,004/38,352,233
  6. Step 6: Final answer
    x = 177,021,840.75

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