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Finding the Third Proportional to 3,274,348 and 6,888,016

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Solution

The third proportional to 3,274,348 and 6,888,016 is: 14,489,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274,348 : 6,888,016 = 6,888,016 : x
  2. Step 2: Convert to fraction form
    3,274,348/6,888,016 = 6,888,016/x
  3. Step 3: Cross multiply
    3,274,348x = 6,888,016 × 6,888,016
  4. Step 4: Simplify right side
    3,274,348x = 47,444,764,416,256
  5. Step 5: Solve for x
    x = 47,444,764,416,256/3,274,348
  6. Step 6: Final answer
    x = 14,489,835.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.