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Finding the Third Proportional to 27,022,049.75 and 41,825,592

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Solution

The third proportional to 27,022,049.75 and 41,825,592 is: 64,738,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022,049.75 : 41,825,592 = 41,825,592 : x
  2. Step 2: Convert to fraction form
    27,022,049.75/41,825,592 = 41,825,592/x
  3. Step 3: Cross multiply
    27,022,049.75x = 41,825,592 × 41,825,592
  4. Step 4: Simplify right side
    27,022,049.75x = 1,749,380,146,150,464
  5. Step 5: Solve for x
    x = 1,749,380,146,150,464/27,022,049.75
  6. Step 6: Final answer
    x = 64,738,987.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.