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Finding the Third Proportional to 34,809,945 and 75,405,234

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Solution

The third proportional to 34,809,945 and 75,405,234 is: 163,342,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809,945 : 75,405,234 = 75,405,234 : x
  2. Step 2: Convert to fraction form
    34,809,945/75,405,234 = 75,405,234/x
  3. Step 3: Cross multiply
    34,809,945x = 75,405,234 × 75,405,234
  4. Step 4: Simplify right side
    34,809,945x = 5,685,949,314,594,756
  5. Step 5: Solve for x
    x = 5,685,949,314,594,756/34,809,945
  6. Step 6: Final answer
    x = 163,342,668.73

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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.