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Finding the Third Proportional to 3,217,716 and 6,354,216

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Solution

The third proportional to 3,217,716 and 6,354,216 is: 12,548,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,716 : 6,354,216 = 6,354,216 : x
  2. Step 2: Convert to fraction form
    3,217,716/6,354,216 = 6,354,216/x
  3. Step 3: Cross multiply
    3,217,716x = 6,354,216 × 6,354,216
  4. Step 4: Simplify right side
    3,217,716x = 40,376,060,974,656
  5. Step 5: Solve for x
    x = 40,376,060,974,656/3,217,716
  6. Step 6: Final answer
    x = 12,548,049.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.