Finding the Third Proportional to 23,023,836,887,568 and 51,195,475,087,762
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Solution
The third proportional to 23,023,836,887,568 and 51,195,475,087,762 is: 113,837,527,700,558.38
Step by Step Solution
- Step 1: Write the proportion equation
23,023,836,887,568 : 51,195,475,087,762 = 51,195,475,087,762 : x - Step 2: Convert to fraction form
23,023,836,887,568/51,195,475,087,762 = 51,195,475,087,762/x - Step 3: Cross multiply
23,023,836,887,568x = 51,195,475,087,762 × 51,195,475,087,762 - Step 4: Simplify right side
23,023,836,887,568x = 2,620,976,669,461,659,811,535,912,960 - Step 5: Solve for x
x = 2,620,976,669,461,659,811,535,912,960/23,023,836,887,568 - Step 6: Final answer
x = 113,837,527,700,558.38
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.