Finding the Third Proportional to 30,383,215,294,436 and 40,994,091,245,244
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Solution
The third proportional to 30,383,215,294,436 and 40,994,091,245,244 is: 55,310,654,278,618.73
Step by Step Solution
- Step 1: Write the proportion equation
30,383,215,294,436 : 40,994,091,245,244 = 40,994,091,245,244 : x - Step 2: Convert to fraction form
30,383,215,294,436/40,994,091,245,244 = 40,994,091,245,244/x - Step 3: Cross multiply
30,383,215,294,436x = 40,994,091,245,244 × 40,994,091,245,244 - Step 4: Simplify right side
30,383,215,294,436x = 1,680,515,517,023,390,664,744,763,392 - Step 5: Solve for x
x = 1,680,515,517,023,390,664,744,763,392/30,383,215,294,436 - Step 6: Final answer
x = 55,310,654,278,618.73
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.