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Finding the Third Proportional to 39,695,304.75 and 85,986,741

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Solution

The third proportional to 39,695,304.75 and 85,986,741 is: 186,261,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,695,304.75 : 85,986,741 = 85,986,741 : x
  2. Step 2: Convert to fraction form
    39,695,304.75/85,986,741 = 85,986,741/x
  3. Step 3: Cross multiply
    39,695,304.75x = 85,986,741 × 85,986,741
  4. Step 4: Simplify right side
    39,695,304.75x = 7,393,719,627,801,081
  5. Step 5: Solve for x
    x = 7,393,719,627,801,081/39,695,304.75
  6. Step 6: Final answer
    x = 186,261,817.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.