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Finding the Third Proportional to 11,165,200,866 and 17,286,188,211

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Solution

The third proportional to 11,165,200,866 and 17,286,188,211 is: 26,762,823,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,200,866 : 17,286,188,211 = 17,286,188,211 : x
  2. Step 2: Convert to fraction form
    11,165,200,866/17,286,188,211 = 17,286,188,211/x
  3. Step 3: Cross multiply
    11,165,200,866x = 17,286,188,211 × 17,286,188,211
  4. Step 4: Simplify right side
    11,165,200,866x = 298,812,302,866,115,395,584
  5. Step 5: Solve for x
    x = 298,812,302,866,115,395,584/11,165,200,866
  6. Step 6: Final answer
    x = 26,762,823,746.06

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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.