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Finding the Third Proportional to 4,004,212 and 9,448,317

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Solution

The third proportional to 4,004,212 and 9,448,317 is: 22,294,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004,212 : 9,448,317 = 9,448,317 : x
  2. Step 2: Convert to fraction form
    4,004,212/9,448,317 = 9,448,317/x
  3. Step 3: Cross multiply
    4,004,212x = 9,448,317 × 9,448,317
  4. Step 4: Simplify right side
    4,004,212x = 89,270,694,132,489
  5. Step 5: Solve for x
    x = 89,270,694,132,489/4,004,212
  6. Step 6: Final answer
    x = 22,294,197.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.