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Finding the Third Proportional to 41,913,164,682 and 91,412,171,067

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Solution

The third proportional to 41,913,164,682 and 91,412,171,067 is: 199,368,983,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,913,164,682 : 91,412,171,067 = 91,412,171,067 : x
  2. Step 2: Convert to fraction form
    41,913,164,682/91,412,171,067 = 91,412,171,067/x
  3. Step 3: Cross multiply
    41,913,164,682x = 91,412,171,067 × 91,412,171,067
  4. Step 4: Simplify right side
    41,913,164,682x = 8,356,185,019,182,471,970,816
  5. Step 5: Solve for x
    x = 8,356,185,019,182,471,970,816/41,913,164,682
  6. Step 6: Final answer
    x = 199,368,983,052.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.