Prevalence of HPV is not the same as cervical cancer. HPV is in roughly 50% of the population. Cervical cancer effects a few thousand each year.
In 2007 12,280 women were diagnosed with cervical cancer, 4,021 died from it.
More than 100 types of HPV exist, about 3 can cause cancer.
Source for this info is the CDC.
There are MANY more than three strains of HPV that are oncogenic. The vaccines protect against two of the most virulent, but there are quite a few more that can cause cancer.
It’s estimated that 1 in 25 women will develop cervical dysplasia. Without treatment, about 30-50% of those will develop into cervical cancer. Source: http://www.thehpvtest.com/about-hpv/cervical-dysplasia-faqs/
The same HPVs that cause cervical cancer also cause other cancers, such as bladder, throat, anal, and penile cancers.