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Finding the Third Proportional to 41,913,164,676 and 91,412,171,056

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Solution

The third proportional to 41,913,164,676 and 91,412,171,056 is: 199,368,983,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,913,164,676 : 91,412,171,056 = 91,412,171,056 : x
  2. Step 2: Convert to fraction form
    41,913,164,676/91,412,171,056 = 91,412,171,056/x
  3. Step 3: Cross multiply
    41,913,164,676x = 91,412,171,056 × 91,412,171,056
  4. Step 4: Simplify right side
    41,913,164,676x = 8,356,185,017,171,403,866,112
  5. Step 5: Solve for x
    x = 8,356,185,017,171,403,866,112/41,913,164,676
  6. Step 6: Final answer
    x = 199,368,983,033.54

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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.