Finding the Third Proportional to 266,825,721,982.50 and 406,490,530,673.25
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Solution
The third proportional to 266,825,721,982.50 and 406,490,530,673.25 is: 619,260,205,872.72
Step by Step Solution
- Step 1: Write the proportion equation
266,825,721,982.50 : 406,490,530,673.25 = 406,490,530,673.25 : x - Step 2: Convert to fraction form
266,825,721,982.50/406,490,530,673.25 = 406,490,530,673.25/x - Step 3: Cross multiply
266,825,721,982.50x = 406,490,530,673.25 × 406,490,530,673.25 - Step 4: Simplify right side
266,825,721,982.50x = 165,234,551,527,020,408,340,480 - Step 5: Solve for x
x = 165,234,551,527,020,408,340,480/266,825,721,982.50 - Step 6: Final answer
x = 619,260,205,872.72
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.