Finding the Third Proportional to 749,600,930,783.25 and 1,141,965,166,932
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Solution
The third proportional to 749,600,930,783.25 and 1,141,965,166,932 is: 1,739,704,940,231.87
Step by Step Solution
- Step 1: Write the proportion equation
749,600,930,783.25 : 1,141,965,166,932 = 1,141,965,166,932 : x - Step 2: Convert to fraction form
749,600,930,783.25/1,141,965,166,932 = 1,141,965,166,932/x - Step 3: Cross multiply
749,600,930,783.25x = 1,141,965,166,932 × 1,141,965,166,932 - Step 4: Simplify right side
749,600,930,783.25x = 1,304,084,442,486,030,670,495,744 - Step 5: Solve for x
x = 1,304,084,442,486,030,670,495,744/749,600,930,783.25 - Step 6: Final answer
x = 1,739,704,940,231.87
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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.