Finding the Third Proportional to 30,632,512,926 and 65,568,165,830
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Solution
The third proportional to 30,632,512,926 and 65,568,165,830 is: 140,347,100,503.84
Step by Step Solution
- Step 1: Write the proportion equation
30,632,512,926 : 65,568,165,830 = 65,568,165,830 : x - Step 2: Convert to fraction form
30,632,512,926/65,568,165,830 = 65,568,165,830/x - Step 3: Cross multiply
30,632,512,926x = 65,568,165,830 × 65,568,165,830 - Step 4: Simplify right side
30,632,512,926x = 4,299,184,370,310,379,470,848 - Step 5: Solve for x
x = 4,299,184,370,310,379,470,848/30,632,512,926 - Step 6: Final answer
x = 140,347,100,503.84
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.