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Finding the Third Proportional to 3,857,049 and 8,294,556

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Solution

The third proportional to 3,857,049 and 8,294,556 is: 17,837,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,049 : 8,294,556 = 8,294,556 : x
  2. Step 2: Convert to fraction form
    3,857,049/8,294,556 = 8,294,556/x
  3. Step 3: Cross multiply
    3,857,049x = 8,294,556 × 8,294,556
  4. Step 4: Simplify right side
    3,857,049x = 68,799,659,237,136
  5. Step 5: Solve for x
    x = 68,799,659,237,136/3,857,049
  6. Step 6: Final answer
    x = 17,837,382.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.