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Finding the Third Proportional to 34,809,930 and 75,405,204

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Solution

The third proportional to 34,809,930 and 75,405,204 is: 163,342,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809,930 : 75,405,204 = 75,405,204 : x
  2. Step 2: Convert to fraction form
    34,809,930/75,405,204 = 75,405,204/x
  3. Step 3: Cross multiply
    34,809,930x = 75,405,204 × 75,405,204
  4. Step 4: Simplify right side
    34,809,930x = 5,685,944,790,281,616
  5. Step 5: Solve for x
    x = 5,685,944,790,281,616/34,809,930
  6. Step 6: Final answer
    x = 163,342,609.14

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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.