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Finding the Third Proportional to 2,433,834.50 and 5,193,425

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Solution

The third proportional to 2,433,834.50 and 5,193,425 is: 11,081,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,834.50 : 5,193,425 = 5,193,425 : x
  2. Step 2: Convert to fraction form
    2,433,834.50/5,193,425 = 5,193,425/x
  3. Step 3: Cross multiply
    2,433,834.50x = 5,193,425 × 5,193,425
  4. Step 4: Simplify right side
    2,433,834.50x = 26,971,663,230,625
  5. Step 5: Solve for x
    x = 26,971,663,230,625/2,433,834.50
  6. Step 6: Final answer
    x = 11,081,962.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.