Finding the Third Proportional to 749,600,930,800 and 1,141,965,166,962
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Solution
The third proportional to 749,600,930,800 and 1,141,965,166,962 is: 1,739,704,940,284.41
Step by Step Solution
- Step 1: Write the proportion equation
749,600,930,800 : 1,141,965,166,962 = 1,141,965,166,962 : x - Step 2: Convert to fraction form
749,600,930,800/1,141,965,166,962 = 1,141,965,166,962/x - Step 3: Cross multiply
749,600,930,800x = 1,141,965,166,962 × 1,141,965,166,962 - Step 4: Simplify right side
749,600,930,800x = 1,304,084,442,554,548,552,204,288 - Step 5: Solve for x
x = 1,304,084,442,554,548,552,204,288/749,600,930,800 - Step 6: Final answer
x = 1,739,704,940,284.41
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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.