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Finding the Third Proportional to 8,723,954,976 and 18,778,165,824

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Solution

The third proportional to 8,723,954,976 and 18,778,165,824 is: 40,419,684,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723,954,976 : 18,778,165,824 = 18,778,165,824 : x
  2. Step 2: Convert to fraction form
    8,723,954,976/18,778,165,824 = 18,778,165,824/x
  3. Step 3: Cross multiply
    8,723,954,976x = 18,778,165,824 × 18,778,165,824
  4. Step 4: Simplify right side
    8,723,954,976x = 352,619,511,713,641,594,880
  5. Step 5: Solve for x
    x = 352,619,511,713,641,594,880/8,723,954,976
  6. Step 6: Final answer
    x = 40,419,684,957.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.