Finding the Third Proportional to 67,965,627,968 and 106,618,015,164
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Solution
The third proportional to 67,965,627,968 and 106,618,015,164 is: 167,252,205,230.31
Step by Step Solution
- Step 1: Write the proportion equation
67,965,627,968 : 106,618,015,164 = 106,618,015,164 : x - Step 2: Convert to fraction form
67,965,627,968/106,618,015,164 = 106,618,015,164/x - Step 3: Cross multiply
67,965,627,968x = 106,618,015,164 × 106,618,015,164 - Step 4: Simplify right side
67,965,627,968x = 11,367,401,157,510,932,987,904 - Step 5: Solve for x
x = 11,367,401,157,510,932,987,904/67,965,627,968 - Step 6: Final answer
x = 167,252,205,230.31
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.