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Finding the Third Proportional to 42,150,033,552 and 91,646,427,560

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Solution

The third proportional to 42,150,033,552 and 91,646,427,560 is: 199,265,978,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150,033,552 : 91,646,427,560 = 91,646,427,560 : x
  2. Step 2: Convert to fraction form
    42,150,033,552/91,646,427,560 = 91,646,427,560/x
  3. Step 3: Cross multiply
    42,150,033,552x = 91,646,427,560 × 91,646,427,560
  4. Step 4: Simplify right side
    42,150,033,552x = 8,399,067,684,510,327,898,112
  5. Step 5: Solve for x
    x = 8,399,067,684,510,327,898,112/42,150,033,552
  6. Step 6: Final answer
    x = 199,265,978,617.75

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