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Finding the Third Proportional to 14,974,401 and 23,002,512

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Solution

The third proportional to 14,974,401 and 23,002,512 is: 35,334,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974,401 : 23,002,512 = 23,002,512 : x
  2. Step 2: Convert to fraction form
    14,974,401/23,002,512 = 23,002,512/x
  3. Step 3: Cross multiply
    14,974,401x = 23,002,512 × 23,002,512
  4. Step 4: Simplify right side
    14,974,401x = 529,115,558,310,144
  5. Step 5: Solve for x
    x = 529,115,558,310,144/14,974,401
  6. Step 6: Final answer
    x = 35,334,672.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.