Finding the Third Proportional to 207,197,173,416 and 450,879,201,780
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Solution
The third proportional to 207,197,173,416 and 450,879,201,780 is: 981,152,644,344.29
Step by Step Solution
- Step 1: Write the proportion equation
207,197,173,416 : 450,879,201,780 = 450,879,201,780 : x - Step 2: Convert to fraction form
207,197,173,416/450,879,201,780 = 450,879,201,780/x - Step 3: Cross multiply
207,197,173,416x = 450,879,201,780 × 450,879,201,780 - Step 4: Simplify right side
207,197,173,416x = 203,292,054,597,769,944,367,104 - Step 5: Solve for x
x = 203,292,054,597,769,944,367,104/207,197,173,416 - Step 6: Final answer
x = 981,152,644,344.29
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.