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Finding the Third Proportional to 11,743,107 and 25,304,880

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Solution

The third proportional to 11,743,107 and 25,304,880 is: 54,528,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743,107 : 25,304,880 = 25,304,880 : x
  2. Step 2: Convert to fraction form
    11,743,107/25,304,880 = 25,304,880/x
  3. Step 3: Cross multiply
    11,743,107x = 25,304,880 × 25,304,880
  4. Step 4: Simplify right side
    11,743,107x = 640,336,951,814,400
  5. Step 5: Solve for x
    x = 640,336,951,814,400/11,743,107
  6. Step 6: Final answer
    x = 54,528,750.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.