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Finding the Third Proportional to 3,838,206 and 8,444,049

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Solution

The third proportional to 3,838,206 and 8,444,049 is: 18,576,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,206 : 8,444,049 = 8,444,049 : x
  2. Step 2: Convert to fraction form
    3,838,206/8,444,049 = 8,444,049/x
  3. Step 3: Cross multiply
    3,838,206x = 8,444,049 × 8,444,049
  4. Step 4: Simplify right side
    3,838,206x = 71,301,963,514,401
  5. Step 5: Solve for x
    x = 71,301,963,514,401/3,838,206
  6. Step 6: Final answer
    x = 18,576,898.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.