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Finding the Third Proportional to 5,239,722,906 and 11,363,520,096

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Solution

The third proportional to 5,239,722,906 and 11,363,520,096 is: 24,644,354,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239,722,906 : 11,363,520,096 = 11,363,520,096 : x
  2. Step 2: Convert to fraction form
    5,239,722,906/11,363,520,096 = 11,363,520,096/x
  3. Step 3: Cross multiply
    5,239,722,906x = 11,363,520,096 × 11,363,520,096
  4. Step 4: Simplify right side
    5,239,722,906x = 129,129,588,972,195,856,384
  5. Step 5: Solve for x
    x = 129,129,588,972,195,856,384/5,239,722,906
  6. Step 6: Final answer
    x = 24,644,354,537.21

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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.