Finding the Third Proportional to 7,544,917,422,198 and 16,411,782,447,288
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Solution
The third proportional to 7,544,917,422,198 and 16,411,782,447,288 is: 35,699,078,999,150.12
Step by Step Solution
- Step 1: Write the proportion equation
7,544,917,422,198 : 16,411,782,447,288 = 16,411,782,447,288 : x - Step 2: Convert to fraction form
7,544,917,422,198/16,411,782,447,288 = 16,411,782,447,288/x - Step 3: Cross multiply
7,544,917,422,198x = 16,411,782,447,288 × 16,411,782,447,288 - Step 4: Simplify right side
7,544,917,422,198x = 269,346,603,097,110,497,546,207,232 - Step 5: Solve for x
x = 269,346,603,097,110,497,546,207,232/7,544,917,422,198 - Step 6: Final answer
x = 35,699,078,999,150.12
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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.