Finding the Third Proportional to 24,815,922,380,524 and 54,306,641,985,268
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Solution
The third proportional to 24,815,922,380,524 and 54,306,641,985,268 is: 118,843,511,778,174.70
Step by Step Solution
- Step 1: Write the proportion equation
24,815,922,380,524 : 54,306,641,985,268 = 54,306,641,985,268 : x - Step 2: Convert to fraction form
24,815,922,380,524/54,306,641,985,268 = 54,306,641,985,268/x - Step 3: Cross multiply
24,815,922,380,524x = 54,306,641,985,268 × 54,306,641,985,268 - Step 4: Simplify right side
24,815,922,380,524x = 2,949,211,363,716,073,214,816,813,056 - Step 5: Solve for x
x = 2,949,211,363,716,073,214,816,813,056/24,815,922,380,524 - Step 6: Final answer
x = 118,843,511,778,174.70
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.