Finding the Third Proportional to 511,696,016 and 729,270,552
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Solution
The third proportional to 511,696,016 and 729,270,552 is: 1,039,358,371.74
Step by Step Solution
- Step 1: Write the proportion equation
511,696,016 : 729,270,552 = 729,270,552 : x - Step 2: Convert to fraction form
511,696,016/729,270,552 = 729,270,552/x - Step 3: Cross multiply
511,696,016x = 729,270,552 × 729,270,552 - Step 4: Simplify right side
511,696,016x = 531,835,538,014,384,704 - Step 5: Solve for x
x = 531,835,538,014,384,704/511,696,016 - Step 6: Final answer
x = 1,039,358,371.74
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.