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Finding the Third Proportional to 4,256,419 and 9,340,616

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Solution

The third proportional to 4,256,419 and 9,340,616 is: 20,497,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,419 : 9,340,616 = 9,340,616 : x
  2. Step 2: Convert to fraction form
    4,256,419/9,340,616 = 9,340,616/x
  3. Step 3: Cross multiply
    4,256,419x = 9,340,616 × 9,340,616
  4. Step 4: Simplify right side
    4,256,419x = 87,247,107,259,456
  5. Step 5: Solve for x
    x = 87,247,107,259,456/4,256,419
  6. Step 6: Final answer
    x = 20,497,772.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.