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Finding the Third Proportional to 6,228,660 and 13,514,856

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Solution

The third proportional to 6,228,660 and 13,514,856 is: 29,324,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228,660 : 13,514,856 = 13,514,856 : x
  2. Step 2: Convert to fraction form
    6,228,660/13,514,856 = 13,514,856/x
  3. Step 3: Cross multiply
    6,228,660x = 13,514,856 × 13,514,856
  4. Step 4: Simplify right side
    6,228,660x = 182,651,332,700,736
  5. Step 5: Solve for x
    x = 182,651,332,700,736/6,228,660
  6. Step 6: Final answer
    x = 29,324,338.25

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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.