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Finding the Third Proportional to 40,647,990,104 and 88,050,418,120

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Solution

The third proportional to 40,647,990,104 and 88,050,418,120 is: 190,732,090,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,647,990,104 : 88,050,418,120 = 88,050,418,120 : x
  2. Step 2: Convert to fraction form
    40,647,990,104/88,050,418,120 = 88,050,418,120/x
  3. Step 3: Cross multiply
    40,647,990,104x = 88,050,418,120 × 88,050,418,120
  4. Step 4: Simplify right side
    40,647,990,104x = 7,752,876,131,106,824,388,608
  5. Step 5: Solve for x
    x = 7,752,876,131,106,824,388,608/40,647,990,104
  6. Step 6: Final answer
    x = 190,732,090,597.12

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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.