Finding the Third Proportional to 24,492,426,972,015 and 52,478,364,191,568
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Solution
The third proportional to 24,492,426,972,015 and 52,478,364,191,568 is: 112,442,050,408,868.72
Step by Step Solution
- Step 1: Write the proportion equation
24,492,426,972,015 : 52,478,364,191,568 = 52,478,364,191,568 : x - Step 2: Convert to fraction form
24,492,426,972,015/52,478,364,191,568 = 52,478,364,191,568/x - Step 3: Cross multiply
24,492,426,972,015x = 52,478,364,191,568 × 52,478,364,191,568 - Step 4: Simplify right side
24,492,426,972,015x = 2,753,978,708,222,846,577,967,890,432 - Step 5: Solve for x
x = 2,753,978,708,222,846,577,967,890,432/24,492,426,972,015 - Step 6: Final answer
x = 112,442,050,408,868.72
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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.