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Finding the Third Proportional to 3,942,432 and 8,444,736

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Solution

The third proportional to 3,942,432 and 8,444,736 is: 18,088,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942,432 : 8,444,736 = 8,444,736 : x
  2. Step 2: Convert to fraction form
    3,942,432/8,444,736 = 8,444,736/x
  3. Step 3: Cross multiply
    3,942,432x = 8,444,736 × 8,444,736
  4. Step 4: Simplify right side
    3,942,432x = 71,313,566,109,696
  5. Step 5: Solve for x
    x = 71,313,566,109,696/3,942,432
  6. Step 6: Final answer
    x = 18,088,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.