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Finding the Third Proportional to 6,384,648 and 13,782,192

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Solution

The third proportional to 6,384,648 and 13,782,192 is: 29,750,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,648 : 13,782,192 = 13,782,192 : x
  2. Step 2: Convert to fraction form
    6,384,648/13,782,192 = 13,782,192/x
  3. Step 3: Cross multiply
    6,384,648x = 13,782,192 × 13,782,192
  4. Step 4: Simplify right side
    6,384,648x = 189,948,816,324,864
  5. Step 5: Solve for x
    x = 189,948,816,324,864/6,384,648
  6. Step 6: Final answer
    x = 29,750,867.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.