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Finding the Third Proportional to 53,734,446 and 116,591,961.75

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Solution

The third proportional to 53,734,446 and 116,591,961.75 is: 252,978,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734,446 : 116,591,961.75 = 116,591,961.75 : x
  2. Step 2: Convert to fraction form
    53,734,446/116,591,961.75 = 116,591,961.75/x
  3. Step 3: Cross multiply
    53,734,446x = 116,591,961.75 × 116,591,961.75
  4. Step 4: Simplify right side
    53,734,446x = 13,593,685,544,713,464
  5. Step 5: Solve for x
    x = 13,593,685,544,713,464/53,734,446
  6. Step 6: Final answer
    x = 252,978,983.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.