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Finding the Third Proportional to 73,820,027 and 161,542,267

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Solution

The third proportional to 73,820,027 and 161,542,267 is: 353,507,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820,027 : 161,542,267 = 161,542,267 : x
  2. Step 2: Convert to fraction form
    73,820,027/161,542,267 = 161,542,267/x
  3. Step 3: Cross multiply
    73,820,027x = 161,542,267 × 161,542,267
  4. Step 4: Simplify right side
    73,820,027x = 26,095,904,027,499,288
  5. Step 5: Solve for x
    x = 26,095,904,027,499,288/73,820,027
  6. Step 6: Final answer
    x = 353,507,104.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.