Finding the Third Proportional to 741,914,945,118 and 1,607,025,738,204
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Solution
The third proportional to 741,914,945,118 and 1,607,025,738,204 is: 3,480,899,987,584.65
Step by Step Solution
- Step 1: Write the proportion equation
741,914,945,118 : 1,607,025,738,204 = 1,607,025,738,204 : x - Step 2: Convert to fraction form
741,914,945,118/1,607,025,738,204 = 1,607,025,738,204/x - Step 3: Cross multiply
741,914,945,118x = 1,607,025,738,204 × 1,607,025,738,204 - Step 4: Simplify right side
741,914,945,118x = 2,582,531,723,250,111,199,838,208 - Step 5: Solve for x
x = 2,582,531,723,250,111,199,838,208/741,914,945,118 - Step 6: Final answer
x = 3,480,899,987,584.65
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.