Finding the Third Proportional to 20,938,434,508,576 and 45,821,229,175,086
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Solution
The third proportional to 20,938,434,508,576 and 45,821,229,175,086 is: 100,274,213,062,862.98
Step by Step Solution
- Step 1: Write the proportion equation
20,938,434,508,576 : 45,821,229,175,086 = 45,821,229,175,086 : x - Step 2: Convert to fraction form
20,938,434,508,576/45,821,229,175,086 = 45,821,229,175,086/x - Step 3: Cross multiply
20,938,434,508,576x = 45,821,229,175,086 × 45,821,229,175,086 - Step 4: Simplify right side
20,938,434,508,576x = 2,099,585,043,115,752,504,281,792,512 - Step 5: Solve for x
x = 2,099,585,043,115,752,504,281,792,512/20,938,434,508,576 - Step 6: Final answer
x = 100,274,213,062,862.98
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.