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Finding the Third Proportional to 2,150,538,992 and 3,379,149,264

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Solution

The third proportional to 2,150,538,992 and 3,379,149,264 is: 5,309,668,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,538,992 : 3,379,149,264 = 3,379,149,264 : x
  2. Step 2: Convert to fraction form
    2,150,538,992/3,379,149,264 = 3,379,149,264/x
  3. Step 3: Cross multiply
    2,150,538,992x = 3,379,149,264 × 3,379,149,264
  4. Step 4: Simplify right side
    2,150,538,992x = 11,418,649,748,391,741,440
  5. Step 5: Solve for x
    x = 11,418,649,748,391,741,440/2,150,538,992
  6. Step 6: Final answer
    x = 5,309,668,781.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.