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Finding the Third Proportional to 2,936,022 and 6,449,412

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Solution

The third proportional to 2,936,022 and 6,449,412 is: 14,167,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,022 : 6,449,412 = 6,449,412 : x
  2. Step 2: Convert to fraction form
    2,936,022/6,449,412 = 6,449,412/x
  3. Step 3: Cross multiply
    2,936,022x = 6,449,412 × 6,449,412
  4. Step 4: Simplify right side
    2,936,022x = 41,594,915,145,744
  5. Step 5: Solve for x
    x = 41,594,915,145,744/2,936,022
  6. Step 6: Final answer
    x = 14,167,099.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.