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Finding the Third Proportional to 11,165,200,868 and 17,286,188,214

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Solution

The third proportional to 11,165,200,868 and 17,286,188,214 is: 26,762,823,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,200,868 : 17,286,188,214 = 17,286,188,214 : x
  2. Step 2: Convert to fraction form
    11,165,200,868/17,286,188,214 = 17,286,188,214/x
  3. Step 3: Cross multiply
    11,165,200,868x = 17,286,188,214 × 17,286,188,214
  4. Step 4: Simplify right side
    11,165,200,868x = 298,812,302,969,832,538,112
  5. Step 5: Solve for x
    x = 298,812,302,969,832,538,112/11,165,200,868
  6. Step 6: Final answer
    x = 26,762,823,750.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.