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Finding the Third Proportional to 27,150,032 and 37,977,576

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Solution

The third proportional to 27,150,032 and 37,977,576 is: 53,123,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150,032 : 37,977,576 = 37,977,576 : x
  2. Step 2: Convert to fraction form
    27,150,032/37,977,576 = 37,977,576/x
  3. Step 3: Cross multiply
    27,150,032x = 37,977,576 × 37,977,576
  4. Step 4: Simplify right side
    27,150,032x = 1,442,296,278,835,776
  5. Step 5: Solve for x
    x = 1,442,296,278,835,776/27,150,032
  6. Step 6: Final answer
    x = 53,123,188.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.