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Finding the Third Proportional to 8,031,830 and 12,236,067

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Solution

The third proportional to 8,031,830 and 12,236,067 is: 18,640,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031,830 : 12,236,067 = 12,236,067 : x
  2. Step 2: Convert to fraction form
    8,031,830/12,236,067 = 12,236,067/x
  3. Step 3: Cross multiply
    8,031,830x = 12,236,067 × 12,236,067
  4. Step 4: Simplify right side
    8,031,830x = 149,721,335,628,489
  5. Step 5: Solve for x
    x = 149,721,335,628,489/8,031,830
  6. Step 6: Final answer
    x = 18,640,999.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.