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Finding the Third Proportional to 3,202,064 and 6,861,757

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Solution

The third proportional to 3,202,064 and 6,861,757 is: 14,704,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,064 : 6,861,757 = 6,861,757 : x
  2. Step 2: Convert to fraction form
    3,202,064/6,861,757 = 6,861,757/x
  3. Step 3: Cross multiply
    3,202,064x = 6,861,757 × 6,861,757
  4. Step 4: Simplify right side
    3,202,064x = 47,083,709,127,049
  5. Step 5: Solve for x
    x = 47,083,709,127,049/3,202,064
  6. Step 6: Final answer
    x = 14,704,174.91

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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.