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Finding the Third Proportional to 5,767,072 and 12,279,542

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Solution

The third proportional to 5,767,072 and 12,279,542 is: 26,146,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,072 : 12,279,542 = 12,279,542 : x
  2. Step 2: Convert to fraction form
    5,767,072/12,279,542 = 12,279,542/x
  3. Step 3: Cross multiply
    5,767,072x = 12,279,542 × 12,279,542
  4. Step 4: Simplify right side
    5,767,072x = 150,787,151,729,764
  5. Step 5: Solve for x
    x = 150,787,151,729,764/5,767,072
  6. Step 6: Final answer
    x = 26,146,223.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.