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Finding the Third Proportional to 42,150,033,546 and 91,646,427,548

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Solution

The third proportional to 42,150,033,546 and 91,646,427,548 is: 199,265,978,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150,033,546 : 91,646,427,548 = 91,646,427,548 : x
  2. Step 2: Convert to fraction form
    42,150,033,546/91,646,427,548 = 91,646,427,548/x
  3. Step 3: Cross multiply
    42,150,033,546x = 91,646,427,548 × 91,646,427,548
  4. Step 4: Simplify right side
    42,150,033,546x = 8,399,067,682,310,812,860,416
  5. Step 5: Solve for x
    x = 8,399,067,682,310,812,860,416/42,150,033,546
  6. Step 6: Final answer
    x = 199,265,978,593.93

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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.