Finding the Third Proportional to 355,147,157,928 and 513,126,313,296
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Solution
The third proportional to 355,147,157,928 and 513,126,313,296 is: 741,378,911,583.81
Step by Step Solution
- Step 1: Write the proportion equation
355,147,157,928 : 513,126,313,296 = 513,126,313,296 : x - Step 2: Convert to fraction form
355,147,157,928/513,126,313,296 = 513,126,313,296/x - Step 3: Cross multiply
355,147,157,928x = 513,126,313,296 × 513,126,313,296 - Step 4: Simplify right side
355,147,157,928x = 263,298,613,396,744,750,235,648 - Step 5: Solve for x
x = 263,298,613,396,744,750,235,648/355,147,157,928 - Step 6: Final answer
x = 741,378,911,583.81
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.