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Finding the Third Proportional to 5,624,226 and 12,264,474

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Solution

The third proportional to 5,624,226 and 12,264,474 is: 26,744,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624,226 : 12,264,474 = 12,264,474 : x
  2. Step 2: Convert to fraction form
    5,624,226/12,264,474 = 12,264,474/x
  3. Step 3: Cross multiply
    5,624,226x = 12,264,474 × 12,264,474
  4. Step 4: Simplify right side
    5,624,226x = 150,417,322,496,676
  5. Step 5: Solve for x
    x = 150,417,322,496,676/5,624,226
  6. Step 6: Final answer
    x = 26,744,537.38

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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.