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Finding the Third Proportional to 33,741,094,850 and 72,560,108,456

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Solution

The third proportional to 33,741,094,850 and 72,560,108,456 is: 156,040,263,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741,094,850 : 72,560,108,456 = 72,560,108,456 : x
  2. Step 2: Convert to fraction form
    33,741,094,850/72,560,108,456 = 72,560,108,456/x
  3. Step 3: Cross multiply
    33,741,094,850x = 72,560,108,456 × 72,560,108,456
  4. Step 4: Simplify right side
    33,741,094,850x = 5,264,969,339,146,483,007,488
  5. Step 5: Solve for x
    x = 5,264,969,339,146,483,007,488/33,741,094,850
  6. Step 6: Final answer
    x = 156,040,263,736.33

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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.