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Finding the Third Proportional to 27,942,816 and 41,741,680

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Solution

The third proportional to 27,942,816 and 41,741,680 is: 62,354,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942,816 : 41,741,680 = 41,741,680 : x
  2. Step 2: Convert to fraction form
    27,942,816/41,741,680 = 41,741,680/x
  3. Step 3: Cross multiply
    27,942,816x = 41,741,680 × 41,741,680
  4. Step 4: Simplify right side
    27,942,816x = 1,742,367,849,222,400
  5. Step 5: Solve for x
    x = 1,742,367,849,222,400/27,942,816
  6. Step 6: Final answer
    x = 62,354,769.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.