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Finding the Third Proportional to 3,212,736 and 6,691,824

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Solution

The third proportional to 3,212,736 and 6,691,824 is: 13,938,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,736 : 6,691,824 = 6,691,824 : x
  2. Step 2: Convert to fraction form
    3,212,736/6,691,824 = 6,691,824/x
  3. Step 3: Cross multiply
    3,212,736x = 6,691,824 × 6,691,824
  4. Step 4: Simplify right side
    3,212,736x = 44,780,508,446,976
  5. Step 5: Solve for x
    x = 44,780,508,446,976/3,212,736
  6. Step 6: Final answer
    x = 13,938,433.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.