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Finding the Third Proportional to 8,199,024 and 18,981,144

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Solution

The third proportional to 8,199,024 and 18,981,144 is: 43,942,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,024 : 18,981,144 = 18,981,144 : x
  2. Step 2: Convert to fraction form
    8,199,024/18,981,144 = 18,981,144/x
  3. Step 3: Cross multiply
    8,199,024x = 18,981,144 × 18,981,144
  4. Step 4: Simplify right side
    8,199,024x = 360,283,827,548,736
  5. Step 5: Solve for x
    x = 360,283,827,548,736/8,199,024
  6. Step 6: Final answer
    x = 43,942,282.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.