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Finding the Third Proportional to 51,734,974 and 71,932,622

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Solution

The third proportional to 51,734,974 and 71,932,622 is: 100,015,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734,974 : 71,932,622 = 71,932,622 : x
  2. Step 2: Convert to fraction form
    51,734,974/71,932,622 = 71,932,622/x
  3. Step 3: Cross multiply
    51,734,974x = 71,932,622 × 71,932,622
  4. Step 4: Simplify right side
    51,734,974x = 5,174,302,107,794,884
  5. Step 5: Solve for x
    x = 5,174,302,107,794,884/51,734,974
  6. Step 6: Final answer
    x = 100,015,554.43

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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.