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Finding the Third Proportional to 3,213,742 and 6,693,812

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Solution

The third proportional to 3,213,742 and 6,693,812 is: 13,942,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,742 : 6,693,812 = 6,693,812 : x
  2. Step 2: Convert to fraction form
    3,213,742/6,693,812 = 6,693,812/x
  3. Step 3: Cross multiply
    3,213,742x = 6,693,812 × 6,693,812
  4. Step 4: Simplify right side
    3,213,742x = 44,807,119,091,344
  5. Step 5: Solve for x
    x = 44,807,119,091,344/3,213,742
  6. Step 6: Final answer
    x = 13,942,351.03

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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.