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Finding the Third Proportional to 36,469,932 and 57,749,214

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Solution

The third proportional to 36,469,932 and 57,749,214 is: 91,444,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469,932 : 57,749,214 = 57,749,214 : x
  2. Step 2: Convert to fraction form
    36,469,932/57,749,214 = 57,749,214/x
  3. Step 3: Cross multiply
    36,469,932x = 57,749,214 × 57,749,214
  4. Step 4: Simplify right side
    36,469,932x = 3,334,971,717,617,796
  5. Step 5: Solve for x
    x = 3,334,971,717,617,796/36,469,932
  6. Step 6: Final answer
    x = 91,444,418.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.