Finding the Third Proportional to 365,072,221,338 and 780,385,816,308
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Solution
The third proportional to 365,072,221,338 and 780,385,816,308 is: 1,668,168,616,233.51
Step by Step Solution
- Step 1: Write the proportion equation
365,072,221,338 : 780,385,816,308 = 780,385,816,308 : x - Step 2: Convert to fraction form
365,072,221,338/780,385,816,308 = 780,385,816,308/x - Step 3: Cross multiply
365,072,221,338x = 780,385,816,308 × 780,385,816,308 - Step 4: Simplify right side
365,072,221,338x = 609,002,022,294,703,568,846,848 - Step 5: Solve for x
x = 609,002,022,294,703,568,846,848/365,072,221,338 - Step 6: Final answer
x = 1,668,168,616,233.51
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.