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Finding the Third Proportional to 8,230,333 and 11,102,311

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Solution

The third proportional to 8,230,333 and 11,102,311 is: 14,976,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230,333 : 11,102,311 = 11,102,311 : x
  2. Step 2: Convert to fraction form
    8,230,333/11,102,311 = 11,102,311/x
  3. Step 3: Cross multiply
    8,230,333x = 11,102,311 × 11,102,311
  4. Step 4: Simplify right side
    8,230,333x = 123,261,309,540,721
  5. Step 5: Solve for x
    x = 123,261,309,540,721/8,230,333
  6. Step 6: Final answer
    x = 14,976,466.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.