Gardial GreenLights, a manufacturer of energy$-$efficient lighting solutions, has had such success with its new products that it is planning to substantially expand its manufacturing capacity with a $$15$ million investment in new machinery. Gardial plans to maintain its current $60\%$ debt$-$to$-$total$-$assets ratio for its capital structure and to maintain its dividend policy in which at the end of each year it distributes $45\%$ of the year's net income. This year's net income was $$8$ million. How much external equity must Gardial seek now to expand as planned? Enter your answer in millions. For example, an answer of $$1\mathrm{.}23$ million should be entered as $1\mathrm{.}23,$ not $1,230,000.$ Round your answer to two decimal places.

$

million