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Finding the Third Proportional to 8,412,124 and 18,300,474

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Solution

The third proportional to 8,412,124 and 18,300,474 is: 39,812,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412,124 : 18,300,474 = 18,300,474 : x
  2. Step 2: Convert to fraction form
    8,412,124/18,300,474 = 18,300,474/x
  3. Step 3: Cross multiply
    8,412,124x = 18,300,474 × 18,300,474
  4. Step 4: Simplify right side
    8,412,124x = 334,907,348,624,676
  5. Step 5: Solve for x
    x = 334,907,348,624,676/8,412,124
  6. Step 6: Final answer
    x = 39,812,459.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.