The phrase "with the popularization" is grammatically correct and can be used in written English.
It is typically used to indicate the role or influence of something in making something more well-known or widespread. Here is an example: "With the popularization of social media, it has become easier for individuals to connect with people from all around the world."
Cake baking reached its lofty heights with the popularization of the cake mix after World War II.
But now, with the popularization of new medical uses, therapeutic applications of the drug are poised to outstrip the cosmetic treatment in both revenue and prominence.
The rise of college football coincided with the popularization of "muscular Christianity," a theology that associated the faith with vigor and might rather than suffering and submission.
First, credit Winston Churchill, writing in early 1939 as the war clouds gathered (as war clouds invariably do), with the popularization of the word as he warned of "the outcome of the European crunch".
Blending with the popularization of Beat literature and the comedy of Lenny Bruce, MAD's attitude entered into the great generational joke of the sixties: feigned idiocy, faux innocence, the put-on, camp.
Recreational sky diving, primarily the domain of extreme-sport enthusiasts, has become more accessible with the popularization of tandem jumping, in which an experienced jumper takes a novice along, strapped in front for the ride.
With the rapid popularization of smart terminals and multimedia services, data traffic in wireless communication networks is growing exponentially, which demands a huge amount of spectrum resources.
With the growing popularization of small crafts, the accidents that happen among such crafts are also drawing increasing attention, according to the marine accident data released by the Japan Coast Guard.
However, during the last decades, with the rapid popularization of Internet and the constant emergence of smart devices as well as innovative network technologies, the current Internet is imposed to meet much more complicated requirements little considered by its designers, facing a great many of challenges.
With the rapid popularization of "designing" business, we had built a frothy cottage industry around the romance of creativity and mystique of innovation with none of the accountability, rigour and - to be honest - sweat that comes from making products.
As an adult, she naturally finds it hypocritical that the same Black American children who called her an "African Booty Scratcher," (though again, she was from Jamaica) are obsessed with dance hall music, and the popularization of Jamaican accents as "cool".
