Finding the Third Proportional to 128,719,431,948 and 277,111,200,024
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Solution
The third proportional to 128,719,431,948 and 277,111,200,024 is: 596,573,617,647.44
Step by Step Solution
- Step 1: Write the proportion equation
128,719,431,948 : 277,111,200,024 = 277,111,200,024 : x - Step 2: Convert to fraction form
128,719,431,948/277,111,200,024 = 277,111,200,024/x - Step 3: Cross multiply
128,719,431,948x = 277,111,200,024 × 277,111,200,024 - Step 4: Simplify right side
128,719,431,948x = 76,790,617,178,741,330,149,376 - Step 5: Solve for x
x = 76,790,617,178,741,330,149,376/128,719,431,948 - Step 6: Final answer
x = 596,573,617,647.44
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.