No, Turkey is not a big producer nation and this is being proven by the data about the exports of every country. You can't say that you are a big producer when you export way less than a poor country like Vietnam or Poland (with 38mln population), Malaysia (with 34mln people) and even less than Czechia (with 10mln people). Look how close to Turkey Austria, the UAE, Ireland and even Hungary are- all of them countries with way less population.
Even Bulgaria that has a population of 6,5 million has an export of 42 billion USD last year compared to Turkey's 225 billion USD and a population of 85 million people. A rough calculation shows that Bulgaria exports around 5 times less than Turkey in absolute numbers while having a 13 times smaller population. That means that the average export per person of Bulgaria is 2,5 times bigger than that of the average Turk. And Bulgaria is the shittiest country in the EU, I won't lie to you.
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I think you're missing the development here. If I am not mistaken the exports will reach 300bn USD in 2022. In a half of a decade, Turkey could very well be in top 15 with the industrial revolution happening right now (surge of high value exports)