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Finding the Third Proportional to 31,187,913,872 and 68,090,942,656

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Solution

The third proportional to 31,187,913,872 and 68,090,942,656 is: 148,659,397,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187,913,872 : 68,090,942,656 = 68,090,942,656 : x
  2. Step 2: Convert to fraction form
    31,187,913,872/68,090,942,656 = 68,090,942,656/x
  3. Step 3: Cross multiply
    31,187,913,872x = 68,090,942,656 × 68,090,942,656
  4. Step 4: Simplify right side
    31,187,913,872x = 4,636,376,471,782,680,428,544
  5. Step 5: Solve for x
    x = 4,636,376,471,782,680,428,544/31,187,913,872
  6. Step 6: Final answer
    x = 148,659,397,060.38

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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.