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Finding the Third Proportional to 664,840,016 and 993,538,992

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Solution

The third proportional to 664,840,016 and 993,538,992 is: 1,484,747,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,840,016 : 993,538,992 = 993,538,992 : x
  2. Step 2: Convert to fraction form
    664,840,016/993,538,992 = 993,538,992/x
  3. Step 3: Cross multiply
    664,840,016x = 993,538,992 × 993,538,992
  4. Step 4: Simplify right side
    664,840,016x = 987,119,728,624,376,064
  5. Step 5: Solve for x
    x = 987,119,728,624,376,064/664,840,016
  6. Step 6: Final answer
    x = 1,484,747,766.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.