Finding the Third Proportional to 31,342,418,414,670 and 68,187,629,991,736
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Solution
The third proportional to 31,342,418,414,670 and 68,187,629,991,736 is: 148,346,972,539,733.72
Step by Step Solution
- Step 1: Write the proportion equation
31,342,418,414,670 : 68,187,629,991,736 = 68,187,629,991,736 : x - Step 2: Convert to fraction form
31,342,418,414,670/68,187,629,991,736 = 68,187,629,991,736/x - Step 3: Cross multiply
31,342,418,414,670x = 68,187,629,991,736 × 68,187,629,991,736 - Step 4: Simplify right side
31,342,418,414,670x = 4,649,552,883,889,895,013,651,316,736 - Step 5: Solve for x
x = 4,649,552,883,889,895,013,651,316,736/31,342,418,414,670 - Step 6: Final answer
x = 148,346,972,539,733.72
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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.