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Finding the Third Proportional to 9,467,975 and 20,449,309

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Solution

The third proportional to 9,467,975 and 20,449,309 is: 44,167,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467,975 : 20,449,309 = 20,449,309 : x
  2. Step 2: Convert to fraction form
    9,467,975/20,449,309 = 20,449,309/x
  3. Step 3: Cross multiply
    9,467,975x = 20,449,309 × 20,449,309
  4. Step 4: Simplify right side
    9,467,975x = 418,174,238,577,481
  5. Step 5: Solve for x
    x = 418,174,238,577,481/9,467,975
  6. Step 6: Final answer
    x = 44,167,230.96

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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.