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Finding the Third Proportional to 7,268,261,866 and 15,776,981,741

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Solution

The third proportional to 7,268,261,866 and 15,776,981,741 is: 34,246,585,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,261,866 : 15,776,981,741 = 15,776,981,741 : x
  2. Step 2: Convert to fraction form
    7,268,261,866/15,776,981,741 = 15,776,981,741/x
  3. Step 3: Cross multiply
    7,268,261,866x = 15,776,981,741 × 15,776,981,741
  4. Step 4: Simplify right side
    7,268,261,866x = 248,913,152,855,847,403,520
  5. Step 5: Solve for x
    x = 248,913,152,855,847,403,520/7,268,261,866
  6. Step 6: Final answer
    x = 34,246,585,696.13

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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.