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Finding the Third Proportional to 13,944,729 and 30,358,791

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Solution

The third proportional to 13,944,729 and 30,358,791 is: 66,093,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944,729 : 30,358,791 = 30,358,791 : x
  2. Step 2: Convert to fraction form
    13,944,729/30,358,791 = 30,358,791/x
  3. Step 3: Cross multiply
    13,944,729x = 30,358,791 × 30,358,791
  4. Step 4: Simplify right side
    13,944,729x = 921,656,190,981,681
  5. Step 5: Solve for x
    x = 921,656,190,981,681/13,944,729
  6. Step 6: Final answer
    x = 66,093,517.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.