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Finding the Third Proportional to 34,202,580 and 75,245,604

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Solution

The third proportional to 34,202,580 and 75,245,604 is: 165,540,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202,580 : 75,245,604 = 75,245,604 : x
  2. Step 2: Convert to fraction form
    34,202,580/75,245,604 = 75,245,604/x
  3. Step 3: Cross multiply
    34,202,580x = 75,245,604 × 75,245,604
  4. Step 4: Simplify right side
    34,202,580x = 5,661,900,921,324,816
  5. Step 5: Solve for x
    x = 5,661,900,921,324,816/34,202,580
  6. Step 6: Final answer
    x = 165,540,170.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.