Finding the Third Proportional to 273,970,613,420 and 419,144,362,086.50
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Solution
The third proportional to 273,970,613,420 and 419,144,362,086.50 is: 641,243,942,464.65
Step by Step Solution
- Step 1: Write the proportion equation
273,970,613,420 : 419,144,362,086.50 = 419,144,362,086.50 : x - Step 2: Convert to fraction form
273,970,613,420/419,144,362,086.50 = 419,144,362,086.50/x - Step 3: Cross multiply
273,970,613,420x = 419,144,362,086.50 × 419,144,362,086.50 - Step 4: Simplify right side
273,970,613,420x = 175,681,996,268,899,032,629,248 - Step 5: Solve for x
x = 175,681,996,268,899,032,629,248/273,970,613,420 - Step 6: Final answer
x = 641,243,942,464.65
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.