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Finding the Third Proportional to 27,961,598 and 37,777,863

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Solution

The third proportional to 27,961,598 and 37,777,863 is: 51,040,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961,598 : 37,777,863 = 37,777,863 : x
  2. Step 2: Convert to fraction form
    27,961,598/37,777,863 = 37,777,863/x
  3. Step 3: Cross multiply
    27,961,598x = 37,777,863 × 37,777,863
  4. Step 4: Simplify right side
    27,961,598x = 1,427,166,932,846,769
  5. Step 5: Solve for x
    x = 1,427,166,932,846,769/27,961,598
  6. Step 6: Final answer
    x = 51,040,249.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.