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Finding the Third Proportional to 82,881,867 and 180,467,816

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Solution

The third proportional to 82,881,867 and 180,467,816 is: 392,952,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881,867 : 180,467,816 = 180,467,816 : x
  2. Step 2: Convert to fraction form
    82,881,867/180,467,816 = 180,467,816/x
  3. Step 3: Cross multiply
    82,881,867x = 180,467,816 × 180,467,816
  4. Step 4: Simplify right side
    82,881,867x = 32,568,632,611,809,856
  5. Step 5: Solve for x
    x = 32,568,632,611,809,856/82,881,867
  6. Step 6: Final answer
    x = 392,952,448.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.