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Finding the Third Proportional to 13,883,923 and 29,901,401

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Solution

The third proportional to 13,883,923 and 29,901,401 is: 64,397,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883,923 : 29,901,401 = 29,901,401 : x
  2. Step 2: Convert to fraction form
    13,883,923/29,901,401 = 29,901,401/x
  3. Step 3: Cross multiply
    13,883,923x = 29,901,401 × 29,901,401
  4. Step 4: Simplify right side
    13,883,923x = 894,093,781,762,801
  5. Step 5: Solve for x
    x = 894,093,781,762,801/13,883,923
  6. Step 6: Final answer
    x = 64,397,777.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.