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Finding the Third Proportional to 33,741,094,840 and 72,560,108,438

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Solution

The third proportional to 33,741,094,840 and 72,560,108,438 is: 156,040,263,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741,094,840 : 72,560,108,438 = 72,560,108,438 : x
  2. Step 2: Convert to fraction form
    33,741,094,840/72,560,108,438 = 72,560,108,438/x
  3. Step 3: Cross multiply
    33,741,094,840x = 72,560,108,438 × 72,560,108,438
  4. Step 4: Simplify right side
    33,741,094,840x = 5,264,969,336,534,318,710,784
  5. Step 5: Solve for x
    x = 5,264,969,336,534,318,710,784/33,741,094,840
  6. Step 6: Final answer
    x = 156,040,263,705.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.