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Finding the Third Proportional to 83,644,784 and 181,185,766

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Solution

The third proportional to 83,644,784 and 181,185,766 is: 392,472,551.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,644,784 : 181,185,766 = 181,185,766 : x
  2. Step 2: Convert to fraction form
    83,644,784/181,185,766 = 181,185,766/x
  3. Step 3: Cross multiply
    83,644,784x = 181,185,766 × 181,185,766
  4. Step 4: Simplify right side
    83,644,784x = 32,828,281,801,006,756
  5. Step 5: Solve for x
    x = 32,828,281,801,006,756/83,644,784
  6. Step 6: Final answer
    x = 392,472,551.56

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Why These Related Problems?

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