Finding the Third Proportional to 203,639,831,896 and 413,086,201,280
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Solution
The third proportional to 203,639,831,896 and 413,086,201,280 is: 837,951,043,757.92
Step by Step Solution
- Step 1: Write the proportion equation
203,639,831,896 : 413,086,201,280 = 413,086,201,280 : x - Step 2: Convert to fraction form
203,639,831,896/413,086,201,280 = 413,086,201,280/x - Step 3: Cross multiply
203,639,831,896x = 413,086,201,280 × 413,086,201,280 - Step 4: Simplify right side
203,639,831,896x = 170,640,209,687,940,677,238,784 - Step 5: Solve for x
x = 170,640,209,687,940,677,238,784/203,639,831,896 - Step 6: Final answer
x = 837,951,043,757.92
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.