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Finding the Third Proportional to 27,701,676 and 41,397,471

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Solution

The third proportional to 27,701,676 and 41,397,471 is: 61,864,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701,676 : 41,397,471 = 41,397,471 : x
  2. Step 2: Convert to fraction form
    27,701,676/41,397,471 = 41,397,471/x
  3. Step 3: Cross multiply
    27,701,676x = 41,397,471 × 41,397,471
  4. Step 4: Simplify right side
    27,701,676x = 1,713,750,605,195,841
  5. Step 5: Solve for x
    x = 1,713,750,605,195,841/27,701,676
  6. Step 6: Final answer
    x = 61,864,509.76

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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.