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Finding the Third Proportional to 33,590,238,624 and 72,165,359,367

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Solution

The third proportional to 33,590,238,624 and 72,165,359,367 is: 155,040,252,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590,238,624 : 72,165,359,367 = 72,165,359,367 : x
  2. Step 2: Convert to fraction form
    33,590,238,624/72,165,359,367 = 72,165,359,367/x
  3. Step 3: Cross multiply
    33,590,238,624x = 72,165,359,367 × 72,165,359,367
  4. Step 4: Simplify right side
    33,590,238,624x = 5,207,839,092,568,255,102,976
  5. Step 5: Solve for x
    x = 5,207,839,092,568,255,102,976/33,590,238,624
  6. Step 6: Final answer
    x = 155,040,252,939.65

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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.