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Finding the Third Proportional to 6,423,954 and 13,906,401

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Solution

The third proportional to 6,423,954 and 13,906,401 is: 30,104,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,954 : 13,906,401 = 13,906,401 : x
  2. Step 2: Convert to fraction form
    6,423,954/13,906,401 = 13,906,401/x
  3. Step 3: Cross multiply
    6,423,954x = 13,906,401 × 13,906,401
  4. Step 4: Simplify right side
    6,423,954x = 193,387,988,772,801
  5. Step 5: Solve for x
    x = 193,387,988,772,801/6,423,954
  6. Step 6: Final answer
    x = 30,104,198.87

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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.