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Finding the Third Proportional to 7,268,261,912 and 15,776,981,824

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Solution

The third proportional to 7,268,261,912 and 15,776,981,824 is: 34,246,585,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,261,912 : 15,776,981,824 = 15,776,981,824 : x
  2. Step 2: Convert to fraction form
    7,268,261,912/15,776,981,824 = 15,776,981,824/x
  3. Step 3: Cross multiply
    7,268,261,912x = 15,776,981,824 × 15,776,981,824
  4. Step 4: Simplify right side
    7,268,261,912x = 248,913,155,474,826,362,880
  5. Step 5: Solve for x
    x = 248,913,155,474,826,362,880/7,268,261,912
  6. Step 6: Final answer
    x = 34,246,585,839.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.