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Finding the Third Proportional to 7,624,231 and 16,741,453

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Solution

The third proportional to 7,624,231 and 16,741,453 is: 36,761,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624,231 : 16,741,453 = 16,741,453 : x
  2. Step 2: Convert to fraction form
    7,624,231/16,741,453 = 16,741,453/x
  3. Step 3: Cross multiply
    7,624,231x = 16,741,453 × 16,741,453
  4. Step 4: Simplify right side
    7,624,231x = 280,276,248,551,209
  5. Step 5: Solve for x
    x = 280,276,248,551,209/7,624,231
  6. Step 6: Final answer
    x = 36,761,248.26

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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.