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Finding the Third Proportional to 3,202,063.13 and 6,861,756

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Solution

The third proportional to 3,202,063.13 and 6,861,756 is: 14,704,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,063.13 : 6,861,756 = 6,861,756 : x
  2. Step 2: Convert to fraction form
    3,202,063.13/6,861,756 = 6,861,756/x
  3. Step 3: Cross multiply
    3,202,063.13x = 6,861,756 × 6,861,756
  4. Step 4: Simplify right side
    3,202,063.13x = 47,083,695,403,536
  5. Step 5: Solve for x
    x = 47,083,695,403,536/3,202,063.13
  6. Step 6: Final answer
    x = 14,704,174.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.