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Finding the Third Proportional to 7,268,261,916 and 15,776,981,850

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Solution

The third proportional to 7,268,261,916 and 15,776,981,850 is: 34,246,585,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,261,916 : 15,776,981,850 = 15,776,981,850 : x
  2. Step 2: Convert to fraction form
    7,268,261,916/15,776,981,850 = 15,776,981,850/x
  3. Step 3: Cross multiply
    7,268,261,916x = 15,776,981,850 × 15,776,981,850
  4. Step 4: Simplify right side
    7,268,261,916x = 248,913,156,295,229,407,232
  5. Step 5: Solve for x
    x = 248,913,156,295,229,407,232/7,268,261,916
  6. Step 6: Final answer
    x = 34,246,585,933.74

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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.