The phrase "a much larger extent" is correct and usable in written English.
It can be used when discussing the degree or scope of something in comparison to another.
Example: "The new policy will benefit the community to a much larger extent than the previous one."
Alternatives: "a significantly greater degree" or "a far larger scope".
Canavan argues that "Australia's tax system discriminated against single-income-earner families to a much larger extent than average".
"The backgrounds of women in prison include physical abuse, addiction and mental health issues, to a much larger extent than male prisoners," she said.
As Al Qaeda scattered from Afghanistan and its affiliates took root elsewhere, Bush — and, to a much larger extent, President Obama — used the 2001 authorization to pursue terrorists in Pakistan, Somalia, and Yemen.
The cost of living for the elderly depends to a much larger extent on medical care and prescription drugs than it does for the younger population, and these costs are growing at a rate far exceeding the Consumer Price Index.
As if a judgment day would never come, Mayor Wagner to some extent, and Mayor Lindsay to a much larger extent, had ignored fiscal realities and let New Yorkers believe the stylish fiction that their government could afford all that they deemed appropriate in the richest city in the world.
The field of bioinformatics has acknowledged the standardization problem to a much larger extent than cheminformatics.
He called it the moonwalk and his performance spread its popularity all over the world to much larger extent than Daniel's performance did.
We confine our study to a relatively thin homogeneous reservoir within a sub-domain of a much larger reservoir, with an areal extent far beyond the immediate area of initial production.
And my problem is with the New York Times to a certain extent, and to all of the American media on a much larger scale.
A simple additive model fitted to the data with arcsin regressed on PMV, MAF, and AMI suggests that that all three factors considered have a significant effect on imputation uncertainty: MAF (usually equivalent to marker genotype variance) and to a much larger extent PMV generate imputation uncertainty, whereas AMI reduces imputation noise (Table 6).
Because of the raised flow of the creek and the construction of a parking lot in the lagoon area since the 1960s, the lagoon has never been able to fill to its much larger, historic extent without breaching.
