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Finding the Third Proportional to 8,146,469 and 11,221,824

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Solution

The third proportional to 8,146,469 and 11,221,824 is: 15,458,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146,469 : 11,221,824 = 11,221,824 : x
  2. Step 2: Convert to fraction form
    8,146,469/11,221,824 = 11,221,824/x
  3. Step 3: Cross multiply
    8,146,469x = 11,221,824 × 11,221,824
  4. Step 4: Simplify right side
    8,146,469x = 125,929,333,886,976
  5. Step 5: Solve for x
    x = 125,929,333,886,976/8,146,469
  6. Step 6: Final answer
    x = 15,458,149.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.