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Finding the Third Proportional to 5,239,722,912 and 11,363,520,108

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Solution

The third proportional to 5,239,722,912 and 11,363,520,108 is: 24,644,354,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239,722,912 : 11,363,520,108 = 11,363,520,108 : x
  2. Step 2: Convert to fraction form
    5,239,722,912/11,363,520,108 = 11,363,520,108/x
  3. Step 3: Cross multiply
    5,239,722,912x = 11,363,520,108 × 11,363,520,108
  4. Step 4: Simplify right side
    5,239,722,912x = 129,129,589,244,920,332,288
  5. Step 5: Solve for x
    x = 129,129,589,244,920,332,288/5,239,722,912
  6. Step 6: Final answer
    x = 24,644,354,561.04

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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.