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Finding the Third Proportional to 27,942,832 and 41,741,704

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Solution

The third proportional to 27,942,832 and 41,741,704 is: 62,354,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942,832 : 41,741,704 = 41,741,704 : x
  2. Step 2: Convert to fraction form
    27,942,832/41,741,704 = 41,741,704/x
  3. Step 3: Cross multiply
    27,942,832x = 41,741,704 × 41,741,704
  4. Step 4: Simplify right side
    27,942,832x = 1,742,369,852,823,616
  5. Step 5: Solve for x
    x = 1,742,369,852,823,616/27,942,832
  6. Step 6: Final answer
    x = 62,354,805.44

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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.