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Finding the Third Proportional to 36,469,936 and 57,749,220

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Solution

The third proportional to 36,469,936 and 57,749,220 is: 91,444,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469,936 : 57,749,220 = 57,749,220 : x
  2. Step 2: Convert to fraction form
    36,469,936/57,749,220 = 57,749,220/x
  3. Step 3: Cross multiply
    36,469,936x = 57,749,220 × 57,749,220
  4. Step 4: Simplify right side
    36,469,936x = 3,334,972,410,608,400
  5. Step 5: Solve for x
    x = 3,334,972,410,608,400/36,469,936
  6. Step 6: Final answer
    x = 91,444,427.28

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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.