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Finding the Third Proportional to 3,196,019 and 6,866,374

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Solution

The third proportional to 3,196,019 and 6,866,374 is: 14,751,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,019 : 6,866,374 = 6,866,374 : x
  2. Step 2: Convert to fraction form
    3,196,019/6,866,374 = 6,866,374/x
  3. Step 3: Cross multiply
    3,196,019x = 6,866,374 × 6,866,374
  4. Step 4: Simplify right side
    3,196,019x = 47,147,091,907,876
  5. Step 5: Solve for x
    x = 47,147,091,907,876/3,196,019
  6. Step 6: Final answer
    x = 14,751,818.41

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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.