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Finding the Third Proportional to 227,469,375 and 491,184,978

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Solution

The third proportional to 227,469,375 and 491,184,978 is: 1,060,638,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469,375 : 491,184,978 = 491,184,978 : x
  2. Step 2: Convert to fraction form
    227,469,375/491,184,978 = 491,184,978/x
  3. Step 3: Cross multiply
    227,469,375x = 491,184,978 × 491,184,978
  4. Step 4: Simplify right side
    227,469,375x = 241,262,682,612,860,480
  5. Step 5: Solve for x
    x = 241,262,682,612,860,480/227,469,375
  6. Step 6: Final answer
    x = 1,060,638,086.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.