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Finding the Third Proportional to 41,055,649 and 57,398,216

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Solution

The third proportional to 41,055,649 and 57,398,216 is: 80,246,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,055,649 : 57,398,216 = 57,398,216 : x
  2. Step 2: Convert to fraction form
    41,055,649/57,398,216 = 57,398,216/x
  3. Step 3: Cross multiply
    41,055,649x = 57,398,216 × 57,398,216
  4. Step 4: Simplify right side
    41,055,649x = 3,294,555,199,982,656
  5. Step 5: Solve for x
    x = 3,294,555,199,982,656/41,055,649
  6. Step 6: Final answer
    x = 80,246,087.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.