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Finding the Third Proportional to 76,675,414 and 165,042,529

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Solution

The third proportional to 76,675,414 and 165,042,529 is: 355,251,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,414 : 165,042,529 = 165,042,529 : x
  2. Step 2: Convert to fraction form
    76,675,414/165,042,529 = 165,042,529/x
  3. Step 3: Cross multiply
    76,675,414x = 165,042,529 × 165,042,529
  4. Step 4: Simplify right side
    76,675,414x = 27,239,036,378,715,840
  5. Step 5: Solve for x
    x = 27,239,036,378,715,840/76,675,414
  6. Step 6: Final answer
    x = 355,251,246.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.