I would break apart your last sentence and leave out the piece about being a dependent adult, just say an independent adult. Also world and wide should be together, worldwide is one word. Here’s an example of something I might add on the topic.
“Providing free education worldwide not only has the possibility to improve a country’s image, but also improve the futures of many citizens. The goal of education is to prepare children for the future and for them to mature into educated and independent adults. In the long-run, offering more learning opportunities has many positive effects.”
Hope this helps!