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Finding the Third Proportional to 76,675,437 and 165,042,580

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Solution

The third proportional to 76,675,437 and 165,042,580 is: 355,251,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,437 : 165,042,580 = 165,042,580 : x
  2. Step 2: Convert to fraction form
    76,675,437/165,042,580 = 165,042,580/x
  3. Step 3: Cross multiply
    76,675,437x = 165,042,580 × 165,042,580
  4. Step 4: Simplify right side
    76,675,437x = 27,239,053,213,056,400
  5. Step 5: Solve for x
    x = 27,239,053,213,056,400/76,675,437
  6. Step 6: Final answer
    x = 355,251,359.22

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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.