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Finding the Third Proportional to 3,221,609 and 6,947,352

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Solution

The third proportional to 3,221,609 and 6,947,352 is: 14,981,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221,609 : 6,947,352 = 6,947,352 : x
  2. Step 2: Convert to fraction form
    3,221,609/6,947,352 = 6,947,352/x
  3. Step 3: Cross multiply
    3,221,609x = 6,947,352 × 6,947,352
  4. Step 4: Simplify right side
    3,221,609x = 48,265,699,811,904
  5. Step 5: Solve for x
    x = 48,265,699,811,904/3,221,609
  6. Step 6: Final answer
    x = 14,981,861.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.