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Finding the Third Proportional to 75,821,967,686 and 166,808,063,706

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Solution

The third proportional to 75,821,967,686 and 166,808,063,706 is: 366,977,156,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,821,967,686 : 166,808,063,706 = 166,808,063,706 : x
  2. Step 2: Convert to fraction form
    75,821,967,686/166,808,063,706 = 166,808,063,706/x
  3. Step 3: Cross multiply
    75,821,967,686x = 166,808,063,706 × 166,808,063,706
  4. Step 4: Simplify right side
    75,821,967,686x = 27,824,930,117,344,955,465,728
  5. Step 5: Solve for x
    x = 27,824,930,117,344,955,465,728/75,821,967,686
  6. Step 6: Final answer
    x = 366,977,156,707.09

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