Finding the Third Proportional to 24,532,577,055 and 53,363,515,470.75
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Solution
The third proportional to 24,532,577,055 and 53,363,515,470.75 is: 116,076,871,052.43
Step by Step Solution
- Step 1: Write the proportion equation
24,532,577,055 : 53,363,515,470.75 = 53,363,515,470.75 : x - Step 2: Convert to fraction form
24,532,577,055/53,363,515,470.75 = 53,363,515,470.75/x - Step 3: Cross multiply
24,532,577,055x = 53,363,515,470.75 × 53,363,515,470.75 - Step 4: Simplify right side
24,532,577,055x = 2,847,664,783,396,974,362,624 - Step 5: Solve for x
x = 2,847,664,783,396,974,362,624/24,532,577,055 - Step 6: Final answer
x = 116,076,871,052.43
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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.