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Finding the Third Proportional to 5,224,213,538 and 11,366,722,132

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Solution

The third proportional to 5,224,213,538 and 11,366,722,132 is: 24,731,449,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,213,538 : 11,366,722,132 = 11,366,722,132 : x
  2. Step 2: Convert to fraction form
    5,224,213,538/11,366,722,132 = 11,366,722,132/x
  3. Step 3: Cross multiply
    5,224,213,538x = 11,366,722,132 × 11,366,722,132
  4. Step 4: Simplify right side
    5,224,213,538x = 129,202,372,026,098,630,656
  5. Step 5: Solve for x
    x = 129,202,372,026,098,630,656/5,224,213,538
  6. Step 6: Final answer
    x = 24,731,449,257.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.