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Finding the Third Proportional to 31,854,201.75 and 49,189,542.75

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Solution

The third proportional to 31,854,201.75 and 49,189,542.75 is: 75,958,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,201.75 : 49,189,542.75 = 49,189,542.75 : x
  2. Step 2: Convert to fraction form
    31,854,201.75/49,189,542.75 = 49,189,542.75/x
  3. Step 3: Cross multiply
    31,854,201.75x = 49,189,542.75 × 49,189,542.75
  4. Step 4: Simplify right side
    31,854,201.75x = 2,419,611,115,954,077.50
  5. Step 5: Solve for x
    x = 2,419,611,115,954,077.50/31,854,201.75
  6. Step 6: Final answer
    x = 75,958,931.10

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Why These Related Problems?

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