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Finding the Third Proportional to 31,854,210.75 and 49,189,556.25

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Solution

The third proportional to 31,854,210.75 and 49,189,556.25 is: 75,958,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,210.75 : 49,189,556.25 = 49,189,556.25 : x
  2. Step 2: Convert to fraction form
    31,854,210.75/49,189,556.25 = 49,189,556.25/x
  3. Step 3: Cross multiply
    31,854,210.75x = 49,189,556.25 × 49,189,556.25
  4. Step 4: Simplify right side
    31,854,210.75x = 2,419,612,444,071,914
  5. Step 5: Solve for x
    x = 2,419,612,444,071,914/31,854,210.75
  6. Step 6: Final answer
    x = 75,958,951.33

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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.