Leaf's Paper Company is planning to launch a new notebook product that is water resistant. The company wants to sell $30,000,000$ of the new notebooks next year and wants to know what trial rate is required to achieve this goal. The market research group forecasts an awareness rate of $78\%$ and an ACV$\%$ of $59\%.$ Of those that try the product by purchasing $1$ notebook, $30\%$ will repurchase $5$ notebooks per year. There are $160,000,000$ notebook consumers in the target market. Total fixed costs to Leaf Paper Company to manufacture this new notebook are $$9,200,000,$ with variable costs of $$2\mathrm{.}89$ per notebook.

What trial rate is required to achieve the company's goal?