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Finding the Third Proportional to 11,165,200,873 and 17,286,188,221.50

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Solution

The third proportional to 11,165,200,873 and 17,286,188,221.50 is: 26,762,823,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,200,873 : 17,286,188,221.50 = 17,286,188,221.50 : x
  2. Step 2: Convert to fraction form
    11,165,200,873/17,286,188,221.50 = 17,286,188,221.50/x
  3. Step 3: Cross multiply
    11,165,200,873x = 17,286,188,221.50 × 17,286,188,221.50
  4. Step 4: Simplify right side
    11,165,200,873x = 298,812,303,229,125,328,896
  5. Step 5: Solve for x
    x = 298,812,303,229,125,328,896/11,165,200,873
  6. Step 6: Final answer
    x = 26,762,823,761.79

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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.