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Finding the Third Proportional to 39,591,729.75 and 82,803,349.50

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Solution

The third proportional to 39,591,729.75 and 82,803,349.50 is: 173,177,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,591,729.75 : 82,803,349.50 = 82,803,349.50 : x
  2. Step 2: Convert to fraction form
    39,591,729.75/82,803,349.50 = 82,803,349.50/x
  3. Step 3: Cross multiply
    39,591,729.75x = 82,803,349.50 × 82,803,349.50
  4. Step 4: Simplify right side
    39,591,729.75x = 6,856,394,688,419,150
  5. Step 5: Solve for x
    x = 6,856,394,688,419,150/39,591,729.75
  6. Step 6: Final answer
    x = 173,177,447.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.