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Finding the Third Proportional to 5,892,498,867 and 12,765,770,031

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Solution

The third proportional to 5,892,498,867 and 12,765,770,031 is: 27,656,328,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892,498,867 : 12,765,770,031 = 12,765,770,031 : x
  2. Step 2: Convert to fraction form
    5,892,498,867/12,765,770,031 = 12,765,770,031/x
  3. Step 3: Cross multiply
    5,892,498,867x = 12,765,770,031 × 12,765,770,031
  4. Step 4: Simplify right side
    5,892,498,867x = 162,964,884,484,377,739,264
  5. Step 5: Solve for x
    x = 162,964,884,484,377,739,264/5,892,498,867
  6. Step 6: Final answer
    x = 27,656,328,522.53

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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.