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Finding the Third Proportional to 40,647,990,108 and 88,050,418,128

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Solution

The third proportional to 40,647,990,108 and 88,050,418,128 is: 190,732,090,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,647,990,108 : 88,050,418,128 = 88,050,418,128 : x
  2. Step 2: Convert to fraction form
    40,647,990,108/88,050,418,128 = 88,050,418,128/x
  3. Step 3: Cross multiply
    40,647,990,108x = 88,050,418,128 × 88,050,418,128
  4. Step 4: Simplify right side
    40,647,990,108x = 7,752,876,132,515,631,333,376
  5. Step 5: Solve for x
    x = 7,752,876,132,515,631,333,376/40,647,990,108
  6. Step 6: Final answer
    x = 190,732,090,613.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.