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 $76\%$ and an ACV$\%$ of $53\%.$ Of those that try the product by purchasing $1$ notebook, $28\%$ 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 $$9,100,000,$ with variable costs of $$2\mathrm{.}88$ per notebook.

If Leaf is able to sell their new notebooks for $$4\mathrm{.}00,$ what is the break$-$even volume?