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Finding the Third Proportional to 5,917,785.75 and 12,749,737.50

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Solution

The third proportional to 5,917,785.75 and 12,749,737.50 is: 27,469,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917,785.75 : 12,749,737.50 = 12,749,737.50 : x
  2. Step 2: Convert to fraction form
    5,917,785.75/12,749,737.50 = 12,749,737.50/x
  3. Step 3: Cross multiply
    5,917,785.75x = 12,749,737.50 × 12,749,737.50
  4. Step 4: Simplify right side
    5,917,785.75x = 162,555,806,318,906.25
  5. Step 5: Solve for x
    x = 162,555,806,318,906.25/5,917,785.75
  6. Step 6: Final answer
    x = 27,469,025.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.