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Finding the Third Proportional to 11,165,200,876 and 17,286,188,226

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Solution

The third proportional to 11,165,200,876 and 17,286,188,226 is: 26,762,823,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,200,876 : 17,286,188,226 = 17,286,188,226 : x
  2. Step 2: Convert to fraction form
    11,165,200,876/17,286,188,226 = 17,286,188,226/x
  3. Step 3: Cross multiply
    11,165,200,876x = 17,286,188,226 × 17,286,188,226
  4. Step 4: Simplify right side
    11,165,200,876x = 298,812,303,384,701,042,688
  5. Step 5: Solve for x
    x = 298,812,303,384,701,042,688/11,165,200,876
  6. Step 6: Final answer
    x = 26,762,823,768.54

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Why These Related Problems?

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