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Finding the Third Proportional to 3,212,742 and 6,985,356

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Solution

The third proportional to 3,212,742 and 6,985,356 is: 15,188,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,742 : 6,985,356 = 6,985,356 : x
  2. Step 2: Convert to fraction form
    3,212,742/6,985,356 = 6,985,356/x
  3. Step 3: Cross multiply
    3,212,742x = 6,985,356 × 6,985,356
  4. Step 4: Simplify right side
    3,212,742x = 48,795,198,446,736
  5. Step 5: Solve for x
    x = 48,795,198,446,736/3,212,742
  6. Step 6: Final answer
    x = 15,188,022.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.