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Finding the Third Proportional to 79,710,198,399 and 175,667,873,855

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Solution

The third proportional to 79,710,198,399 and 175,667,873,855 is: 387,142,455,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,710,198,399 : 175,667,873,855 = 175,667,873,855 : x
  2. Step 2: Convert to fraction form
    79,710,198,399/175,667,873,855 = 175,667,873,855/x
  3. Step 3: Cross multiply
    79,710,198,399x = 175,667,873,855 × 175,667,873,855
  4. Step 4: Simplify right side
    79,710,198,399x = 30,859,201,904,736,192,167,936
  5. Step 5: Solve for x
    x = 30,859,201,904,736,192,167,936/79,710,198,399
  6. Step 6: Final answer
    x = 387,142,455,100.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.