Finding the Third Proportional to 45,424,082,806 and 98,846,783,850
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Solution
The third proportional to 45,424,082,806 and 98,846,783,850 is: 215,099,261,755.44
Step by Step Solution
- Step 1: Write the proportion equation
45,424,082,806 : 98,846,783,850 = 98,846,783,850 : x - Step 2: Convert to fraction form
45,424,082,806/98,846,783,850 = 98,846,783,850/x - Step 3: Cross multiply
45,424,082,806x = 98,846,783,850 × 98,846,783,850 - Step 4: Simplify right side
45,424,082,806x = 9,770,686,677,488,620,273,664 - Step 5: Solve for x
x = 9,770,686,677,488,620,273,664/45,424,082,806 - Step 6: Final answer
x = 215,099,261,755.44
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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.