Finding the Third Proportional to 431,398,826,350 and 937,884,924,372
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Solution
The third proportional to 431,398,826,350 and 937,884,924,372 is: 2,039,013,733,084.70
Step by Step Solution
- Step 1: Write the proportion equation
431,398,826,350 : 937,884,924,372 = 937,884,924,372 : x - Step 2: Convert to fraction form
431,398,826,350/937,884,924,372 = 937,884,924,372/x - Step 3: Cross multiply
431,398,826,350x = 937,884,924,372 × 937,884,924,372 - Step 4: Simplify right side
431,398,826,350x = 879,628,131,364,272,110,305,280 - Step 5: Solve for x
x = 879,628,131,364,272,110,305,280/431,398,826,350 - Step 6: Final answer
x = 2,039,013,733,084.70
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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.