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Finding the Third Proportional to 6,434,208 and 14,143,626

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Solution

The third proportional to 6,434,208 and 14,143,626 is: 31,090,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434,208 : 14,143,626 = 14,143,626 : x
  2. Step 2: Convert to fraction form
    6,434,208/14,143,626 = 14,143,626/x
  3. Step 3: Cross multiply
    6,434,208x = 14,143,626 × 14,143,626
  4. Step 4: Simplify right side
    6,434,208x = 200,042,156,427,876
  5. Step 5: Solve for x
    x = 200,042,156,427,876/6,434,208
  6. Step 6: Final answer
    x = 31,090,408.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.