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Finding the Third Proportional to 3,332,290,682 and 6,940,393,036

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Solution

The third proportional to 3,332,290,682 and 6,940,393,036 is: 14,455,238,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332,290,682 : 6,940,393,036 = 6,940,393,036 : x
  2. Step 2: Convert to fraction form
    3,332,290,682/6,940,393,036 = 6,940,393,036/x
  3. Step 3: Cross multiply
    3,332,290,682x = 6,940,393,036 × 6,940,393,036
  4. Step 4: Simplify right side
    3,332,290,682x = 48,169,055,494,157,295,616
  5. Step 5: Solve for x
    x = 48,169,055,494,157,295,616/3,332,290,682
  6. Step 6: Final answer
    x = 14,455,238,180.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.