Finding the Third Proportional to 24,492,426,971,604 and 52,478,364,190,790
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Solution
The third proportional to 24,492,426,971,604 and 52,478,364,190,790 is: 112,442,050,407,421.64
Step by Step Solution
- Step 1: Write the proportion equation
24,492,426,971,604 : 52,478,364,190,790 = 52,478,364,190,790 : x - Step 2: Convert to fraction form
24,492,426,971,604/52,478,364,190,790 = 52,478,364,190,790/x - Step 3: Cross multiply
24,492,426,971,604x = 52,478,364,190,790 × 52,478,364,190,790 - Step 4: Simplify right side
24,492,426,971,604x = 2,753,978,708,141,190,247,419,478,016 - Step 5: Solve for x
x = 2,753,978,708,141,190,247,419,478,016/24,492,426,971,604 - Step 6: Final answer
x = 112,442,050,407,421.64
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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.