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Finding the Third Proportional to 27,961,591.50 and 37,777,846.50

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Solution

The third proportional to 27,961,591.50 and 37,777,846.50 is: 51,040,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961,591.50 : 37,777,846.50 = 37,777,846.50 : x
  2. Step 2: Convert to fraction form
    27,961,591.50/37,777,846.50 = 37,777,846.50/x
  3. Step 3: Cross multiply
    27,961,591.50x = 37,777,846.50 × 37,777,846.50
  4. Step 4: Simplify right side
    27,961,591.50x = 1,427,165,686,177,562.25
  5. Step 5: Solve for x
    x = 1,427,165,686,177,562.25/27,961,591.50
  6. Step 6: Final answer
    x = 51,040,216.58

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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.