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Finding the Third Proportional to 37,832,188.50 and 81,466,701.75

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Solution

The third proportional to 37,832,188.50 and 81,466,701.75 is: 175,427,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832,188.50 : 81,466,701.75 = 81,466,701.75 : x
  2. Step 2: Convert to fraction form
    37,832,188.50/81,466,701.75 = 81,466,701.75/x
  3. Step 3: Cross multiply
    37,832,188.50x = 81,466,701.75 × 81,466,701.75
  4. Step 4: Simplify right side
    37,832,188.50x = 6,636,823,494,023,453
  5. Step 5: Solve for x
    x = 6,636,823,494,023,453/37,832,188.50
  6. Step 6: Final answer
    x = 175,427,955.85

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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.