Finding the Third Proportional to 12,477,142,305 and 27,743,995,563
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Solution
The third proportional to 12,477,142,305 and 27,743,995,563 is: 61,691,152,587.99
Step by Step Solution
- Step 1: Write the proportion equation
12,477,142,305 : 27,743,995,563 = 27,743,995,563 : x - Step 2: Convert to fraction form
12,477,142,305/27,743,995,563 = 27,743,995,563/x - Step 3: Cross multiply
12,477,142,305x = 27,743,995,563 × 27,743,995,563 - Step 4: Simplify right side
12,477,142,305x = 769,729,289,799,763,623,936 - Step 5: Solve for x
x = 769,729,289,799,763,623,936/12,477,142,305 - Step 6: Final answer
x = 61,691,152,587.99
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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.