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Finding the Third Proportional to 47,202,825 and 72,900,517.50

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Solution

The third proportional to 47,202,825 and 72,900,517.50 is: 112,588,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,202,825 : 72,900,517.50 = 72,900,517.50 : x
  2. Step 2: Convert to fraction form
    47,202,825/72,900,517.50 = 72,900,517.50/x
  3. Step 3: Cross multiply
    47,202,825x = 72,900,517.50 × 72,900,517.50
  4. Step 4: Simplify right side
    47,202,825x = 5,314,485,451,767,806
  5. Step 5: Solve for x
    x = 5,314,485,451,767,806/47,202,825
  6. Step 6: Final answer
    x = 112,588,292.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.