Finding the Third Proportional to 305,319,757,284 and 671,206,251,078
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Solution
The third proportional to 305,319,757,284 and 671,206,251,078 is: 1,475,560,689,205.99
Step by Step Solution
- Step 1: Write the proportion equation
305,319,757,284 : 671,206,251,078 = 671,206,251,078 : x - Step 2: Convert to fraction form
305,319,757,284/671,206,251,078 = 671,206,251,078/x - Step 3: Cross multiply
305,319,757,284x = 671,206,251,078 × 671,206,251,078 - Step 4: Simplify right side
305,319,757,284x = 450,517,831,486,183,208,648,704 - Step 5: Solve for x
x = 450,517,831,486,183,208,648,704/305,319,757,284 - Step 6: Final answer
x = 1,475,560,689,205.99
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.