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Finding the Third Proportional to 57,396,009 and 87,156,912

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Solution

The third proportional to 57,396,009 and 87,156,912 is: 132,349,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396,009 : 87,156,912 = 87,156,912 : x
  2. Step 2: Convert to fraction form
    57,396,009/87,156,912 = 87,156,912/x
  3. Step 3: Cross multiply
    57,396,009x = 87,156,912 × 87,156,912
  4. Step 4: Simplify right side
    57,396,009x = 7,596,327,309,375,744
  5. Step 5: Solve for x
    x = 7,596,327,309,375,744/57,396,009
  6. Step 6: Final answer
    x = 132,349,399.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.