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Finding the Third Proportional to 8,199,654 and 12,729,225

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Solution

The third proportional to 8,199,654 and 12,729,225 is: 19,760,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,654 : 12,729,225 = 12,729,225 : x
  2. Step 2: Convert to fraction form
    8,199,654/12,729,225 = 12,729,225/x
  3. Step 3: Cross multiply
    8,199,654x = 12,729,225 × 12,729,225
  4. Step 4: Simplify right side
    8,199,654x = 162,033,169,100,625
  5. Step 5: Solve for x
    x = 162,033,169,100,625/8,199,654
  6. Step 6: Final answer
    x = 19,760,976.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.