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Finding the Third Proportional to 8,286,317,920 and 17,751,632,960

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Solution

The third proportional to 8,286,317,920 and 17,751,632,960 is: 38,029,010,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,317,920 : 17,751,632,960 = 17,751,632,960 : x
  2. Step 2: Convert to fraction form
    8,286,317,920/17,751,632,960 = 17,751,632,960/x
  3. Step 3: Cross multiply
    8,286,317,920x = 17,751,632,960 × 17,751,632,960
  4. Step 4: Simplify right side
    8,286,317,920x = 315,120,472,746,558,357,504
  5. Step 5: Solve for x
    x = 315,120,472,746,558,357,504/8,286,317,920
  6. Step 6: Final answer
    x = 38,029,010,688.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.