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Finding the Third Proportional to 75,821,967,684 and 166,808,063,702

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Solution

The third proportional to 75,821,967,684 and 166,808,063,702 is: 366,977,156,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,821,967,684 : 166,808,063,702 = 166,808,063,702 : x
  2. Step 2: Convert to fraction form
    75,821,967,684/166,808,063,702 = 166,808,063,702/x
  3. Step 3: Cross multiply
    75,821,967,684x = 166,808,063,702 × 166,808,063,702
  4. Step 4: Simplify right side
    75,821,967,684x = 27,824,930,116,010,491,510,784
  5. Step 5: Solve for x
    x = 27,824,930,116,010,491,510,784/75,821,967,684
  6. Step 6: Final answer
    x = 366,977,156,699.17

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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.