Finding the Third Proportional to 409,825,218.14 and 629,541,663.75
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Solution
The third proportional to 409,825,218.14 and 629,541,663.75 is: 967,052,999.31
Step by Step Solution
- Step 1: Write the proportion equation
409,825,218.14 : 629,541,663.75 = 629,541,663.75 : x - Step 2: Convert to fraction form
409,825,218.14/629,541,663.75 = 629,541,663.75/x - Step 3: Cross multiply
409,825,218.14x = 629,541,663.75 × 629,541,663.75 - Step 4: Simplify right side
409,825,218.14x = 396,322,706,397,118,080 - Step 5: Solve for x
x = 396,322,706,397,118,080/409,825,218.14 - Step 6: Final answer
x = 967,052,999.31
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.