1. The problem is to complete the missing value in the ratio table where the first column has values 2, 6, □, (empty), 18 and the second column has values 9, 27, 63, 72, 81. 2. We observe that the table represents pairs of numbers in a ratio. The ratio between the first and second columns should be constant or follow a pattern. 3. Let's check the ratio for the known pairs: - For the first row: $\frac{9}{2} = 4.5$ - For the second row: $\frac{27}{6} = 4.5$ 4. Since the ratio is consistent at 4.5, we use this to find the missing value in the first column corresponding to 63 in the second column. 5. Using the formula for ratio: $$\text{Ratio} = \frac{\text{Second Column}}{\text{First Column}}$$ We solve for the missing first column value $x$: $$4.5 = \frac{63}{x}$$ 6. Multiply both sides by $x$: $$4.5x = 63$$ 7. Divide both sides by 4.5: $$x = \frac{63}{4.5}$$ 8. Simplify the division: $$x = 14$$ 9. Check the ratio for the last known pair (18, 81): $$\frac{81}{18} = 4.5$$ 10. For the empty first column value corresponding to 72 in the second column, find $y$: $$4.5 = \frac{72}{y}$$ $$4.5y = 72$$ $$y = \frac{72}{4.5} = 16$$ 11. The completed first column values are 2, 6, 14, 16, 18. Final answer: The missing values in the first column are 14 and 16.