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Finding the Third Proportional to 3,196,024 and 6,866,384

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Solution

The third proportional to 3,196,024 and 6,866,384 is: 14,751,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,024 : 6,866,384 = 6,866,384 : x
  2. Step 2: Convert to fraction form
    3,196,024/6,866,384 = 6,866,384/x
  3. Step 3: Cross multiply
    3,196,024x = 6,866,384 × 6,866,384
  4. Step 4: Simplify right side
    3,196,024x = 47,147,229,235,456
  5. Step 5: Solve for x
    x = 47,147,229,235,456/3,196,024
  6. Step 6: Final answer
    x = 14,751,838.30

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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.