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Finding the Third Proportional to 12,664,213.50 and 29,865,734

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Solution

The third proportional to 12,664,213.50 and 29,865,734 is: 70,431,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664,213.50 : 29,865,734 = 29,865,734 : x
  2. Step 2: Convert to fraction form
    12,664,213.50/29,865,734 = 29,865,734/x
  3. Step 3: Cross multiply
    12,664,213.50x = 29,865,734 × 29,865,734
  4. Step 4: Simplify right side
    12,664,213.50x = 891,962,067,358,756
  5. Step 5: Solve for x
    x = 891,962,067,358,756/12,664,213.50
  6. Step 6: Final answer
    x = 70,431,698.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.