Finding the Third Proportional to 8,271,974,126,843 and 18,102,213,995,093
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Solution
The third proportional to 8,271,974,126,843 and 18,102,213,995,093 is: 39,614,503,926,066.30
Step by Step Solution
- Step 1: Write the proportion equation
8,271,974,126,843 : 18,102,213,995,093 = 18,102,213,995,093 : x - Step 2: Convert to fraction form
8,271,974,126,843/18,102,213,995,093 = 18,102,213,995,093/x - Step 3: Cross multiply
8,271,974,126,843x = 18,102,213,995,093 × 18,102,213,995,093 - Step 4: Simplify right side
8,271,974,126,843x = 327,690,151,524,140,893,373,202,432 - Step 5: Solve for x
x = 327,690,151,524,140,893,373,202,432/8,271,974,126,843 - Step 6: Final answer
x = 39,614,503,926,066.30
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.