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Finding the Third Proportional to 51,734,976 and 71,932,626

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Solution

The third proportional to 51,734,976 and 71,932,626 is: 100,015,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734,976 : 71,932,626 = 71,932,626 : x
  2. Step 2: Convert to fraction form
    51,734,976/71,932,626 = 71,932,626/x
  3. Step 3: Cross multiply
    51,734,976x = 71,932,626 × 71,932,626
  4. Step 4: Simplify right side
    51,734,976x = 5,174,302,683,255,876
  5. Step 5: Solve for x
    x = 5,174,302,683,255,876/51,734,976
  6. Step 6: Final answer
    x = 100,015,561.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.