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Finding the Third Proportional to 34,853,166 and 75,751,200

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Solution

The third proportional to 34,853,166 and 75,751,200 is: 164,640,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853,166 : 75,751,200 = 75,751,200 : x
  2. Step 2: Convert to fraction form
    34,853,166/75,751,200 = 75,751,200/x
  3. Step 3: Cross multiply
    34,853,166x = 75,751,200 × 75,751,200
  4. Step 4: Simplify right side
    34,853,166x = 5,738,244,301,440,000
  5. Step 5: Solve for x
    x = 5,738,244,301,440,000/34,853,166
  6. Step 6: Final answer
    x = 164,640,546.61

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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.