Finding the Third Proportional to 25,290,790,198,538 and 34,123,214,268,179
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Solution
The third proportional to 25,290,790,198,538 and 34,123,214,268,179 is: 46,040,228,195,770.88
Step by Step Solution
- Step 1: Write the proportion equation
25,290,790,198,538 : 34,123,214,268,179 = 34,123,214,268,179 : x - Step 2: Convert to fraction form
25,290,790,198,538/34,123,214,268,179 = 34,123,214,268,179/x - Step 3: Cross multiply
25,290,790,198,538x = 34,123,214,268,179 × 34,123,214,268,179 - Step 4: Simplify right side
25,290,790,198,538x = 1,164,393,751,992,054,832,250,748,928 - Step 5: Solve for x
x = 1,164,393,751,992,054,832,250,748,928/25,290,790,198,538 - Step 6: Final answer
x = 46,040,228,195,770.88
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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.