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Any ratio that can be simplified to 6:9, or can be derived from it by multiplying or dividing both terms by the same number, will be equivalent. For example, if you multiply both sides of 6:9 by 2, you get 12:18; if you divide by 3, you get 2:3. So, ratios like 12:18, 18:27, and even 0:0 (in a mathematical sense) are all equivalent to 6:9! If you're looking to identify if any given ratio is equivalent to 6:9, simply cross-multiply and check if the products are equal. For instance, for a ratio \( x:y \), measure \( 6y = 9x \). If that’s true, congratulations, you’ve spotted an equivalent ratio! This little trick can save you time and ensure your ratios are on point!