Finding the Third Proportional to 269,915,460,914 and 562,171,665,762
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Solution
The third proportional to 269,915,460,914 and 562,171,665,762 is: 1,170,873,949,626.46
Step by Step Solution
- Step 1: Write the proportion equation
269,915,460,914 : 562,171,665,762 = 562,171,665,762 : x - Step 2: Convert to fraction form
269,915,460,914/562,171,665,762 = 562,171,665,762/x - Step 3: Cross multiply
269,915,460,914x = 562,171,665,762 × 562,171,665,762 - Step 4: Simplify right side
269,915,460,914x = 316,036,981,785,621,858,091,008 - Step 5: Solve for x
x = 316,036,981,785,621,858,091,008/269,915,460,914 - Step 6: Final answer
x = 1,170,873,949,626.46
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.