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Finding the Third Proportional to 41,055,646.50 and 57,398,213.25

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Solution

The third proportional to 41,055,646.50 and 57,398,213.25 is: 80,246,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,055,646.50 : 57,398,213.25 = 57,398,213.25 : x
  2. Step 2: Convert to fraction form
    41,055,646.50/57,398,213.25 = 57,398,213.25/x
  3. Step 3: Cross multiply
    41,055,646.50x = 57,398,213.25 × 57,398,213.25
  4. Step 4: Simplify right side
    41,055,646.50x = 3,294,554,884,292,475.50
  5. Step 5: Solve for x
    x = 3,294,554,884,292,475.50/41,055,646.50
  6. Step 6: Final answer
    x = 80,246,084.65

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