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Finding the Third Proportional to 79,710,198,397 and 175,667,873,851

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Solution

The third proportional to 79,710,198,397 and 175,667,873,851 is: 387,142,455,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,710,198,397 : 175,667,873,851 = 175,667,873,851 : x
  2. Step 2: Convert to fraction form
    79,710,198,397/175,667,873,851 = 175,667,873,851/x
  3. Step 3: Cross multiply
    79,710,198,397x = 175,667,873,851 × 175,667,873,851
  4. Step 4: Simplify right side
    79,710,198,397x = 30,859,201,903,330,848,669,696
  5. Step 5: Solve for x
    x = 30,859,201,903,330,848,669,696/79,710,198,397
  6. Step 6: Final answer
    x = 387,142,455,092.58

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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.