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Finding the Third Proportional to 11,165,200,874 and 17,286,188,223

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Solution

The third proportional to 11,165,200,874 and 17,286,188,223 is: 26,762,823,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165,200,874 : 17,286,188,223 = 17,286,188,223 : x
  2. Step 2: Convert to fraction form
    11,165,200,874/17,286,188,223 = 17,286,188,223/x
  3. Step 3: Cross multiply
    11,165,200,874x = 17,286,188,223 × 17,286,188,223
  4. Step 4: Simplify right side
    11,165,200,874x = 298,812,303,280,983,900,160
  5. Step 5: Solve for x
    x = 298,812,303,280,983,900,160/11,165,200,874
  6. Step 6: Final answer
    x = 26,762,823,764.04

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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.