Finding the Third Proportional to 36,738,640,457,414 and 78,717,546,286,200
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Solution
The third proportional to 36,738,640,457,414 and 78,717,546,286,200 is: 168,663,075,611,160
Step by Step Solution
- Step 1: Write the proportion equation
36,738,640,457,414 : 78,717,546,286,200 = 78,717,546,286,200 : x - Step 2: Convert to fraction form
36,738,640,457,414/78,717,546,286,200 = 78,717,546,286,200/x - Step 3: Cross multiply
36,738,640,457,414x = 78,717,546,286,200 × 78,717,546,286,200 - Step 4: Simplify right side
36,738,640,457,414x = 6,196,452,093,320,039,257,914,474,496 - Step 5: Solve for x
x = 6,196,452,093,320,039,257,914,474,496/36,738,640,457,414 - Step 6: Final answer
x = 168,663,075,611,160
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.