If $$\frac{{{x^{24}} + 1}}{{{x^{12}}}} = 7,$$ then the value of $$\frac{{{x^{72}} + 1}}{{{x^{36}}}} = \,?$$
Options:
| A. | 343 |
| B. | 433 |
| C. | 432 |
| D. | 322 |
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