Finding the Third Proportional to 27,917,912,678,102 and 61,094,972,233,448
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Solution
The third proportional to 27,917,912,678,102 and 61,094,972,233,448 is: 133,698,950,750,480.78
Step by Step Solution
- Step 1: Write the proportion equation
27,917,912,678,102 : 61,094,972,233,448 = 61,094,972,233,448 : x - Step 2: Convert to fraction form
27,917,912,678,102/61,094,972,233,448 = 61,094,972,233,448/x - Step 3: Cross multiply
27,917,912,678,102x = 61,094,972,233,448 × 61,094,972,233,448 - Step 4: Simplify right side
27,917,912,678,102x = 3,732,595,632,205,782,290,918,277,120 - Step 5: Solve for x
x = 3,732,595,632,205,782,290,918,277,120/27,917,912,678,102 - Step 6: Final answer
x = 133,698,950,750,480.78
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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.