Finding the Third Proportional to 9,215,091,738,576 and 20,052,410,837,356
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Solution
The third proportional to 9,215,091,738,576 and 20,052,410,837,356 is: 43,634,853,759,171.41
Step by Step Solution
- Step 1: Write the proportion equation
9,215,091,738,576 : 20,052,410,837,356 = 20,052,410,837,356 : x - Step 2: Convert to fraction form
9,215,091,738,576/20,052,410,837,356 = 20,052,410,837,356/x - Step 3: Cross multiply
9,215,091,738,576x = 20,052,410,837,356 × 20,052,410,837,356 - Step 4: Simplify right side
9,215,091,738,576x = 402,099,180,390,112,370,796,527,616 - Step 5: Solve for x
x = 402,099,180,390,112,370,796,527,616/9,215,091,738,576 - Step 6: Final answer
x = 43,634,853,759,171.41
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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.