Finding the Third Proportional to 17,258,809,218,300 and 37,555,864,100,694
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Solution
The third proportional to 17,258,809,218,300 and 37,555,864,100,694 is: 81,723,073,156,997.64
Step by Step Solution
- Step 1: Write the proportion equation
17,258,809,218,300 : 37,555,864,100,694 = 37,555,864,100,694 : x - Step 2: Convert to fraction form
17,258,809,218,300/37,555,864,100,694 = 37,555,864,100,694/x - Step 3: Cross multiply
17,258,809,218,300x = 37,555,864,100,694 × 37,555,864,100,694 - Step 4: Simplify right side
17,258,809,218,300x = 1,410,442,928,349,796,215,811,997,696 - Step 5: Solve for x
x = 1,410,442,928,349,796,215,811,997,696/17,258,809,218,300 - Step 6: Final answer
x = 81,723,073,156,997.64
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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.