Finding the Third Proportional to 511,437,517.17 and 1,102,705,029.84
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Solution
The third proportional to 511,437,517.17 and 1,102,705,029.84 is: 2,377,530,669.96
Step by Step Solution
- Step 1: Write the proportion equation
511,437,517.17 : 1,102,705,029.84 = 1,102,705,029.84 : x - Step 2: Convert to fraction form
511,437,517.17/1,102,705,029.84 = 1,102,705,029.84/x - Step 3: Cross multiply
511,437,517.17x = 1,102,705,029.84 × 1,102,705,029.84 - Step 4: Simplify right side
511,437,517.17x = 1,215,958,382,842,816,000 - Step 5: Solve for x
x = 1,215,958,382,842,816,000/511,437,517.17 - Step 6: Final answer
x = 2,377,530,669.96
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.