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Finding the Third Proportional to 7,268,261,859 and 15,776,981,728.50

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Solution

The third proportional to 7,268,261,859 and 15,776,981,728.50 is: 34,246,585,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,261,859 : 15,776,981,728.50 = 15,776,981,728.50 : x
  2. Step 2: Convert to fraction form
    7,268,261,859/15,776,981,728.50 = 15,776,981,728.50/x
  3. Step 3: Cross multiply
    7,268,261,859x = 15,776,981,728.50 × 15,776,981,728.50
  4. Step 4: Simplify right side
    7,268,261,859x = 248,913,152,461,422,854,144
  5. Step 5: Solve for x
    x = 248,913,152,461,422,854,144/7,268,261,859
  6. Step 6: Final answer
    x = 34,246,585,674.84

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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.