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Finding the Third Proportional to 13,967,073 and 21,548,451

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Solution

The third proportional to 13,967,073 and 21,548,451 is: 33,245,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967,073 : 21,548,451 = 21,548,451 : x
  2. Step 2: Convert to fraction form
    13,967,073/21,548,451 = 21,548,451/x
  3. Step 3: Cross multiply
    13,967,073x = 21,548,451 × 21,548,451
  4. Step 4: Simplify right side
    13,967,073x = 464,335,740,499,401
  5. Step 5: Solve for x
    x = 464,335,740,499,401/13,967,073
  6. Step 6: Final answer
    x = 33,245,028.54

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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.