Finding the Third Proportional to 358,102,367,352 and 776,625,699,096
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Solution
The third proportional to 358,102,367,352 and 776,625,699,096 is: 1,684,287,878,229.75
Step by Step Solution
- Step 1: Write the proportion equation
358,102,367,352 : 776,625,699,096 = 776,625,699,096 : x - Step 2: Convert to fraction form
358,102,367,352/776,625,699,096 = 776,625,699,096/x - Step 3: Cross multiply
358,102,367,352x = 776,625,699,096 × 776,625,699,096 - Step 4: Simplify right side
358,102,367,352x = 603,147,476,496,350,741,266,432 - Step 5: Solve for x
x = 603,147,476,496,350,741,266,432/358,102,367,352 - Step 6: Final answer
x = 1,684,287,878,229.75
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.