Finding the Third Proportional to 458,599,629,310.05 and 997,715,665,201.80
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Solution
The third proportional to 458,599,629,310.05 and 997,715,665,201.80 is: 2,170,600,421,301.42
Step by Step Solution
- Step 1: Write the proportion equation
458,599,629,310.05 : 997,715,665,201.80 = 997,715,665,201.80 : x - Step 2: Convert to fraction form
458,599,629,310.05/997,715,665,201.80 = 997,715,665,201.80/x - Step 3: Cross multiply
458,599,629,310.05x = 997,715,665,201.80 × 997,715,665,201.80 - Step 4: Simplify right side
458,599,629,310.05x = 995,436,548,589,070,348,976,128 - Step 5: Solve for x
x = 995,436,548,589,070,348,976,128/458,599,629,310.05 - Step 6: Final answer
x = 2,170,600,421,301.42
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.