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Finding the Third Proportional to 7,268,261,860 and 15,776,981,732

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Solution

The third proportional to 7,268,261,860 and 15,776,981,732 is: 34,246,585,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,261,860 : 15,776,981,732 = 15,776,981,732 : x
  2. Step 2: Convert to fraction form
    7,268,261,860/15,776,981,732 = 15,776,981,732/x
  3. Step 3: Cross multiply
    7,268,261,860x = 15,776,981,732 × 15,776,981,732
  4. Step 4: Simplify right side
    7,268,261,860x = 248,913,152,571,861,729,280
  5. Step 5: Solve for x
    x = 248,913,152,571,861,729,280/7,268,261,860
  6. Step 6: Final answer
    x = 34,246,585,685.32

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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.