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Finding the Third Proportional to 38,173,605.75 and 82,398,910.50

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Solution

The third proportional to 38,173,605.75 and 82,398,910.50 is: 177,860,600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173,605.75 : 82,398,910.50 = 82,398,910.50 : x
  2. Step 2: Convert to fraction form
    38,173,605.75/82,398,910.50 = 82,398,910.50/x
  3. Step 3: Cross multiply
    38,173,605.75x = 82,398,910.50 × 82,398,910.50
  4. Step 4: Simplify right side
    38,173,605.75x = 6,789,580,451,587,010
  5. Step 5: Solve for x
    x = 6,789,580,451,587,010/38,173,605.75
  6. Step 6: Final answer
    x = 177,860,600.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.