Privately-provided long-term care — including assisted living and home healthcare — is largely out of reach for the broad middle class.Getty ImagesThe growing population of older Americans is facing unaffordable long-term care.These costs will also burden many younger people caring for older relatives and kin.Government incentives and public insurance could help address care affordability, experts say.As the population of older Americans balloons, the financial costs associated with aging are, too.Many millennials and Gen Xers are facing a stark reality: their parents and grandparents don't have the means to pay for long-term care — and they'll need to help foot the bill, especially since government aid often doesn't cover large parts of this care.Many younger people end up leaving their jobs or working less in order to care for their aging family members — and that sacrifice can hurt them financially both today and in the future, including by shrinking their income and Social Security benefits, experts say."The bigger issue is you can create almost a cycle of poverty," Marc Cohen, a professor of gerontology at the University of Massachusetts Boston, told Business Insider.