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Finding the Third Proportional to 37,885,171.50 and 81,832,747.50

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Solution

The third proportional to 37,885,171.50 and 81,832,747.50 is: 176,760,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885,171.50 : 81,832,747.50 = 81,832,747.50 : x
  2. Step 2: Convert to fraction form
    37,885,171.50/81,832,747.50 = 81,832,747.50/x
  3. Step 3: Cross multiply
    37,885,171.50x = 81,832,747.50 × 81,832,747.50
  4. Step 4: Simplify right side
    37,885,171.50x = 6,696,598,563,398,756
  5. Step 5: Solve for x
    x = 6,696,598,563,398,756/37,885,171.50
  6. Step 6: Final answer
    x = 176,760,413.07

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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.