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Finding the Third Proportional to 2,299,108.50 and 5,419,638

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Solution

The third proportional to 2,299,108.50 and 5,419,638 is: 12,775,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,108.50 : 5,419,638 = 5,419,638 : x
  2. Step 2: Convert to fraction form
    2,299,108.50/5,419,638 = 5,419,638/x
  3. Step 3: Cross multiply
    2,299,108.50x = 5,419,638 × 5,419,638
  4. Step 4: Simplify right side
    2,299,108.50x = 29,372,476,051,044
  5. Step 5: Solve for x
    x = 29,372,476,051,044/2,299,108.50
  6. Step 6: Final answer
    x = 12,775,593.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.