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Finding the Third Proportional to 16,024,909.50 and 32,616,149

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Solution

The third proportional to 16,024,909.50 and 32,616,149 is: 66,384,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024,909.50 : 32,616,149 = 32,616,149 : x
  2. Step 2: Convert to fraction form
    16,024,909.50/32,616,149 = 32,616,149/x
  3. Step 3: Cross multiply
    16,024,909.50x = 32,616,149 × 32,616,149
  4. Step 4: Simplify right side
    16,024,909.50x = 1,063,813,175,590,201
  5. Step 5: Solve for x
    x = 1,063,813,175,590,201/16,024,909.50
  6. Step 6: Final answer
    x = 66,384,972.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.