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Finding the Third Proportional to 27,177,846 and 41,162,376

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Solution

The third proportional to 27,177,846 and 41,162,376 is: 62,342,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177,846 : 41,162,376 = 41,162,376 : x
  2. Step 2: Convert to fraction form
    27,177,846/41,162,376 = 41,162,376/x
  3. Step 3: Cross multiply
    27,177,846x = 41,162,376 × 41,162,376
  4. Step 4: Simplify right side
    27,177,846x = 1,694,341,197,965,376
  5. Step 5: Solve for x
    x = 1,694,341,197,965,376/27,177,846
  6. Step 6: Final answer
    x = 62,342,733.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.