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Finding the Third Proportional to 3,196,021 and 6,866,378

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Solution

The third proportional to 3,196,021 and 6,866,378 is: 14,751,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,021 : 6,866,378 = 6,866,378 : x
  2. Step 2: Convert to fraction form
    3,196,021/6,866,378 = 6,866,378/x
  3. Step 3: Cross multiply
    3,196,021x = 6,866,378 × 6,866,378
  4. Step 4: Simplify right side
    3,196,021x = 47,147,146,838,884
  5. Step 5: Solve for x
    x = 47,147,146,838,884/3,196,021
  6. Step 6: Final answer
    x = 14,751,826.36

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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.