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Finding the Third Proportional to 76,675,445 and 165,042,596

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Solution

The third proportional to 76,675,445 and 165,042,596 is: 355,251,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,445 : 165,042,596 = 165,042,596 : x
  2. Step 2: Convert to fraction form
    76,675,445/165,042,596 = 165,042,596/x
  3. Step 3: Cross multiply
    76,675,445x = 165,042,596 × 165,042,596
  4. Step 4: Simplify right side
    76,675,445x = 27,239,058,494,419,216
  5. Step 5: Solve for x
    x = 27,239,058,494,419,216/76,675,445
  6. Step 6: Final answer
    x = 355,251,391.03

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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.