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Finding the Third Proportional to 5,239,722,910 and 11,363,520,104

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Solution

The third proportional to 5,239,722,910 and 11,363,520,104 is: 24,644,354,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239,722,910 : 11,363,520,104 = 11,363,520,104 : x
  2. Step 2: Convert to fraction form
    5,239,722,910/11,363,520,104 = 11,363,520,104/x
  3. Step 3: Cross multiply
    5,239,722,910x = 11,363,520,104 × 11,363,520,104
  4. Step 4: Simplify right side
    5,239,722,910x = 129,129,589,154,012,168,192
  5. Step 5: Solve for x
    x = 129,129,589,154,012,168,192/5,239,722,910
  6. Step 6: Final answer
    x = 24,644,354,553.09

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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.