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Finding the Third Proportional to 3,196,678 and 6,846,793

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Solution

The third proportional to 3,196,678 and 6,846,793 is: 14,664,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,678 : 6,846,793 = 6,846,793 : x
  2. Step 2: Convert to fraction form
    3,196,678/6,846,793 = 6,846,793/x
  3. Step 3: Cross multiply
    3,196,678x = 6,846,793 × 6,846,793
  4. Step 4: Simplify right side
    3,196,678x = 46,878,574,384,849
  5. Step 5: Solve for x
    x = 46,878,574,384,849/3,196,678
  6. Step 6: Final answer
    x = 14,664,778.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.