Finding the Third Proportional to 226,678,198 and 480,596,822
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Solution
The third proportional to 226,678,198 and 480,596,822 is: 1,018,948,038.91
Step by Step Solution
- Step 1: Write the proportion equation
226,678,198 : 480,596,822 = 480,596,822 : x - Step 2: Convert to fraction form
226,678,198/480,596,822 = 480,596,822/x - Step 3: Cross multiply
226,678,198x = 480,596,822 × 480,596,822 - Step 4: Simplify right side
226,678,198x = 230,973,305,316,499,680 - Step 5: Solve for x
x = 230,973,305,316,499,680/226,678,198 - Step 6: Final answer
x = 1,018,948,038.91
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.