Finding the Third Proportional to 585,015,341,928 and 1,186,479,985,110
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Solution
The third proportional to 585,015,341,928 and 1,186,479,985,110 is: 2,406,321,089,678.16
Step by Step Solution
- Step 1: Write the proportion equation
585,015,341,928 : 1,186,479,985,110 = 1,186,479,985,110 : x - Step 2: Convert to fraction form
585,015,341,928/1,186,479,985,110 = 1,186,479,985,110/x - Step 3: Cross multiply
585,015,341,928x = 1,186,479,985,110 × 1,186,479,985,110 - Step 4: Simplify right side
585,015,341,928x = 1,407,734,755,066,625,822,556,160 - Step 5: Solve for x
x = 1,407,734,755,066,625,822,556,160/585,015,341,928 - Step 6: Final answer
x = 2,406,321,089,678.16
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.