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Finding the Third Proportional to 33,741,095,008 and 72,560,108,772

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Solution

The third proportional to 33,741,095,008 and 72,560,108,772 is: 156,040,264,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741,095,008 : 72,560,108,772 = 72,560,108,772 : x
  2. Step 2: Convert to fraction form
    33,741,095,008/72,560,108,772 = 72,560,108,772/x
  3. Step 3: Cross multiply
    33,741,095,008x = 72,560,108,772 × 72,560,108,772
  4. Step 4: Simplify right side
    33,741,095,008x = 5,264,969,385,004,471,681,024
  5. Step 5: Solve for x
    x = 5,264,969,385,004,471,681,024/33,741,095,008
  6. Step 6: Final answer
    x = 156,040,264,364.75

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