Finding the Third Proportional to 41,467,912,823,538 and 90,235,848,767,994
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Solution
The third proportional to 41,467,912,823,538 and 90,235,848,767,994 is: 196,356,841,916,057
Step by Step Solution
- Step 1: Write the proportion equation
41,467,912,823,538 : 90,235,848,767,994 = 90,235,848,767,994 : x - Step 2: Convert to fraction form
41,467,912,823,538/90,235,848,767,994 = 90,235,848,767,994/x - Step 3: Cross multiply
41,467,912,823,538x = 90,235,848,767,994 × 90,235,848,767,994 - Step 4: Simplify right side
41,467,912,823,538x = 8,142,508,402,880,283,881,888,546,816 - Step 5: Solve for x
x = 8,142,508,402,880,283,881,888,546,816/41,467,912,823,538 - Step 6: Final answer
x = 196,356,841,916,057
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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.