Finding the Third Proportional to 75,784,216,398 and 163,062,508,613
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Solution
The third proportional to 75,784,216,398 and 163,062,508,613 is: 350,856,457,702.54
Step by Step Solution
- Step 1: Write the proportion equation
75,784,216,398 : 163,062,508,613 = 163,062,508,613 : x - Step 2: Convert to fraction form
75,784,216,398/163,062,508,613 = 163,062,508,613/x - Step 3: Cross multiply
75,784,216,398x = 163,062,508,613 × 163,062,508,613 - Step 4: Simplify right side
75,784,216,398x = 26,589,381,715,164,697,460,736 - Step 5: Solve for x
x = 26,589,381,715,164,697,460,736/75,784,216,398 - Step 6: Final answer
x = 350,856,457,702.54
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.