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Finding the Third Proportional to 392,521,232,622 and 853,816,246,998

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Solution

The third proportional to 392,521,232,622 and 853,816,246,998 is: 1,857,229,935,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,521,232,622 : 853,816,246,998 = 853,816,246,998 : x
  2. Step 2: Convert to fraction form
    392,521,232,622/853,816,246,998 = 853,816,246,998/x
  3. Step 3: Cross multiply
    392,521,232,622x = 853,816,246,998 × 853,816,246,998
  4. Step 4: Simplify right side
    392,521,232,622x = 729,002,183,637,749,790,146,560
  5. Step 5: Solve for x
    x = 729,002,183,637,749,790,146,560/392,521,232,622
  6. Step 6: Final answer
    x = 1,857,229,935,736.45

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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.