Finding the Third Proportional to 66,233,149,102 and 144,453,801,142
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Solution
The third proportional to 66,233,149,102 and 144,453,801,142 is: 315,052,220,033.16
Step by Step Solution
- Step 1: Write the proportion equation
66,233,149,102 : 144,453,801,142 = 144,453,801,142 : x - Step 2: Convert to fraction form
66,233,149,102/144,453,801,142 = 144,453,801,142/x - Step 3: Cross multiply
66,233,149,102x = 144,453,801,142 × 144,453,801,142 - Step 4: Simplify right side
66,233,149,102x = 20,866,900,664,372,479,131,648 - Step 5: Solve for x
x = 20,866,900,664,372,479,131,648/66,233,149,102 - Step 6: Final answer
x = 315,052,220,033.16
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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.