Finding the Third Proportional to 798,537,107,078 and 1,775,615,715,286
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Solution
The third proportional to 798,537,107,078 and 1,775,615,715,286 is: 3,948,233,764,498.88
Step by Step Solution
- Step 1: Write the proportion equation
798,537,107,078 : 1,775,615,715,286 = 1,775,615,715,286 : x - Step 2: Convert to fraction form
798,537,107,078/1,775,615,715,286 = 1,775,615,715,286/x - Step 3: Cross multiply
798,537,107,078x = 1,775,615,715,286 × 1,775,615,715,286 - Step 4: Simplify right side
798,537,107,078x = 3,152,811,168,370,613,297,348,608 - Step 5: Solve for x
x = 3,152,811,168,370,613,297,348,608/798,537,107,078 - Step 6: Final answer
x = 3,948,233,764,498.88
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.