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Finding the Third Proportional to 6,654,746 and 13,624,825

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Solution

The third proportional to 6,654,746 and 13,624,825 is: 27,895,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654,746 : 13,624,825 = 13,624,825 : x
  2. Step 2: Convert to fraction form
    6,654,746/13,624,825 = 13,624,825/x
  3. Step 3: Cross multiply
    6,654,746x = 13,624,825 × 13,624,825
  4. Step 4: Simplify right side
    6,654,746x = 185,635,856,280,625
  5. Step 5: Solve for x
    x = 185,635,856,280,625/6,654,746
  6. Step 6: Final answer
    x = 27,895,257.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.