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Finding the Third Proportional to 5,150,709.75 and 10,725,301.50

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Solution

The third proportional to 5,150,709.75 and 10,725,301.50 is: 22,333,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,709.75 : 10,725,301.50 = 10,725,301.50 : x
  2. Step 2: Convert to fraction form
    5,150,709.75/10,725,301.50 = 10,725,301.50/x
  3. Step 3: Cross multiply
    5,150,709.75x = 10,725,301.50 × 10,725,301.50
  4. Step 4: Simplify right side
    5,150,709.75x = 115,032,092,265,902.25
  5. Step 5: Solve for x
    x = 115,032,092,265,902.25/5,150,709.75
  6. Step 6: Final answer
    x = 22,333,250.73

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.