Finding the Third Proportional to 826,531,776,520 and 1,283,314,379,562
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Solution
The third proportional to 826,531,776,520 and 1,283,314,379,562 is: 1,992,537,786,901.11
Step by Step Solution
- Step 1: Write the proportion equation
826,531,776,520 : 1,283,314,379,562 = 1,283,314,379,562 : x - Step 2: Convert to fraction form
826,531,776,520/1,283,314,379,562 = 1,283,314,379,562/x - Step 3: Cross multiply
826,531,776,520x = 1,283,314,379,562 × 1,283,314,379,562 - Step 4: Simplify right side
826,531,776,520x = 1,646,895,796,790,601,061,498,880 - Step 5: Solve for x
x = 1,646,895,796,790,601,061,498,880/826,531,776,520 - Step 6: Final answer
x = 1,992,537,786,901.11
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.