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Finding the Third Proportional to 75,821,967,675 and 166,808,063,685

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Solution

The third proportional to 75,821,967,675 and 166,808,063,685 is: 366,977,156,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,821,967,675 : 166,808,063,685 = 166,808,063,685 : x
  2. Step 2: Convert to fraction form
    75,821,967,675/166,808,063,685 = 166,808,063,685/x
  3. Step 3: Cross multiply
    75,821,967,675x = 166,808,063,685 × 166,808,063,685
  4. Step 4: Simplify right side
    75,821,967,675x = 27,824,930,110,339,016,556,544
  5. Step 5: Solve for x
    x = 27,824,930,110,339,016,556,544/75,821,967,675
  6. Step 6: Final answer
    x = 366,977,156,667.93

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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.