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Finding the Third Proportional to 12,175,574 and 18,279,376

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Solution

The third proportional to 12,175,574 and 18,279,376 is: 27,443,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175,574 : 18,279,376 = 18,279,376 : x
  2. Step 2: Convert to fraction form
    12,175,574/18,279,376 = 18,279,376/x
  3. Step 3: Cross multiply
    12,175,574x = 18,279,376 × 18,279,376
  4. Step 4: Simplify right side
    12,175,574x = 334,135,586,949,376
  5. Step 5: Solve for x
    x = 334,135,586,949,376/12,175,574
  6. Step 6: Final answer
    x = 27,443,107.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.