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Finding the Third Proportional to 7,624,227 and 16,741,446

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Solution

The third proportional to 7,624,227 and 16,741,446 is: 36,761,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624,227 : 16,741,446 = 16,741,446 : x
  2. Step 2: Convert to fraction form
    7,624,227/16,741,446 = 16,741,446/x
  3. Step 3: Cross multiply
    7,624,227x = 16,741,446 × 16,741,446
  4. Step 4: Simplify right side
    7,624,227x = 280,276,014,170,916
  5. Step 5: Solve for x
    x = 280,276,014,170,916/7,624,227
  6. Step 6: Final answer
    x = 36,761,236.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.