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Finding the Third Proportional to 6,120,400 and 13,448,656

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Solution

The third proportional to 6,120,400 and 13,448,656 is: 29,551,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120,400 : 13,448,656 = 13,448,656 : x
  2. Step 2: Convert to fraction form
    6,120,400/13,448,656 = 13,448,656/x
  3. Step 3: Cross multiply
    6,120,400x = 13,448,656 × 13,448,656
  4. Step 4: Simplify right side
    6,120,400x = 180,866,348,206,336
  5. Step 5: Solve for x
    x = 180,866,348,206,336/6,120,400
  6. Step 6: Final answer
    x = 29,551,393.41

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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.