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Finding the Third Proportional to 11,542,131,840 and 25,209,318,760

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Solution

The third proportional to 11,542,131,840 and 25,209,318,760 is: 55,059,997,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542,131,840 : 25,209,318,760 = 25,209,318,760 : x
  2. Step 2: Convert to fraction form
    11,542,131,840/25,209,318,760 = 25,209,318,760/x
  3. Step 3: Cross multiply
    11,542,131,840x = 25,209,318,760 × 25,209,318,760
  4. Step 4: Simplify right side
    11,542,131,840x = 635,509,752,343,287,955,456
  5. Step 5: Solve for x
    x = 635,509,752,343,287,955,456/11,542,131,840
  6. Step 6: Final answer
    x = 55,059,997,680.92

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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.