Finding the Third Proportional to 36,738,640,458,258 and 78,717,546,287,770
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Solution
The third proportional to 36,738,640,458,258 and 78,717,546,287,770 is: 168,663,075,614,013.19
Step by Step Solution
- Step 1: Write the proportion equation
36,738,640,458,258 : 78,717,546,287,770 = 78,717,546,287,770 : x - Step 2: Convert to fraction form
36,738,640,458,258/78,717,546,287,770 = 78,717,546,287,770/x - Step 3: Cross multiply
36,738,640,458,258x = 78,717,546,287,770 × 78,717,546,287,770 - Step 4: Simplify right side
36,738,640,458,258x = 6,196,452,093,567,212,770,373,402,624 - Step 5: Solve for x
x = 6,196,452,093,567,212,770,373,402,624/36,738,640,458,258 - Step 6: Final answer
x = 168,663,075,614,013.19
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.