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Finding the Third Proportional to 8,124,206 and 17,842,493

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Solution

The third proportional to 8,124,206 and 17,842,493 is: 39,185,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124,206 : 17,842,493 = 17,842,493 : x
  2. Step 2: Convert to fraction form
    8,124,206/17,842,493 = 17,842,493/x
  3. Step 3: Cross multiply
    8,124,206x = 17,842,493 × 17,842,493
  4. Step 4: Simplify right side
    8,124,206x = 318,354,556,455,049
  5. Step 5: Solve for x
    x = 318,354,556,455,049/8,124,206
  6. Step 6: Final answer
    x = 39,185,928.63

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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.