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Finding the Third Proportional to 6,649,920 and 14,325,676

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Solution

The third proportional to 6,649,920 and 14,325,676 is: 30,861,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,920 : 14,325,676 = 14,325,676 : x
  2. Step 2: Convert to fraction form
    6,649,920/14,325,676 = 14,325,676/x
  3. Step 3: Cross multiply
    6,649,920x = 14,325,676 × 14,325,676
  4. Step 4: Simplify right side
    6,649,920x = 205,224,992,856,976
  5. Step 5: Solve for x
    x = 205,224,992,856,976/6,649,920
  6. Step 6: Final answer
    x = 30,861,272.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.