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Finding the Third Proportional to 6,324,963 and 13,868,814

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Solution

The third proportional to 6,324,963 and 13,868,814 is: 30,410,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324,963 : 13,868,814 = 13,868,814 : x
  2. Step 2: Convert to fraction form
    6,324,963/13,868,814 = 13,868,814/x
  3. Step 3: Cross multiply
    6,324,963x = 13,868,814 × 13,868,814
  4. Step 4: Simplify right side
    6,324,963x = 192,344,001,766,596
  5. Step 5: Solve for x
    x = 192,344,001,766,596/6,324,963
  6. Step 6: Final answer
    x = 30,410,296.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.