Finding the Third Proportional to 286,969,900,464 and 616,527,057,932
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Solution
The third proportional to 286,969,900,464 and 616,527,057,932 is: 1,324,548,715,902.60
Step by Step Solution
- Step 1: Write the proportion equation
286,969,900,464 : 616,527,057,932 = 616,527,057,932 : x - Step 2: Convert to fraction form
286,969,900,464/616,527,057,932 = 616,527,057,932/x - Step 3: Cross multiply
286,969,900,464x = 616,527,057,932 × 616,527,057,932 - Step 4: Simplify right side
286,969,900,464x = 380,105,613,162,287,674,163,200 - Step 5: Solve for x
x = 380,105,613,162,287,674,163,200/286,969,900,464 - Step 6: Final answer
x = 1,324,548,715,902.60
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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.