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Finding the Third Proportional to 34,202,533 and 75,245,501

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Solution

The third proportional to 34,202,533 and 75,245,501 is: 165,539,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202,533 : 75,245,501 = 75,245,501 : x
  2. Step 2: Convert to fraction form
    34,202,533/75,245,501 = 75,245,501/x
  3. Step 3: Cross multiply
    34,202,533x = 75,245,501 × 75,245,501
  4. Step 4: Simplify right side
    34,202,533x = 5,661,885,420,741,001
  5. Step 5: Solve for x
    x = 5,661,885,420,741,001/34,202,533
  6. Step 6: Final answer
    x = 165,539,944.68

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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.