Finding the Third Proportional to 21,806,735,162 and 47,434,235,978
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Solution
The third proportional to 21,806,735,162 and 47,434,235,978 is: 103,179,440,943.43
Step by Step Solution
- Step 1: Write the proportion equation
21,806,735,162 : 47,434,235,978 = 47,434,235,978 : x - Step 2: Convert to fraction form
21,806,735,162/47,434,235,978 = 47,434,235,978/x - Step 3: Cross multiply
21,806,735,162x = 47,434,235,978 × 47,434,235,978 - Step 4: Simplify right side
21,806,735,162x = 2,250,006,742,816,589,611,008 - Step 5: Solve for x
x = 2,250,006,742,816,589,611,008/21,806,735,162 - Step 6: Final answer
x = 103,179,440,943.43
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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.