Finding the Third Proportional to 431,398,826,346 and 937,884,924,364
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Solution
The third proportional to 431,398,826,346 and 937,884,924,364 is: 2,039,013,733,068.82
Step by Step Solution
- Step 1: Write the proportion equation
431,398,826,346 : 937,884,924,364 = 937,884,924,364 : x - Step 2: Convert to fraction form
431,398,826,346/937,884,924,364 = 937,884,924,364/x - Step 3: Cross multiply
431,398,826,346x = 937,884,924,364 × 937,884,924,364 - Step 4: Simplify right side
431,398,826,346x = 879,628,131,349,266,031,443,968 - Step 5: Solve for x
x = 879,628,131,349,266,031,443,968/431,398,826,346 - Step 6: Final answer
x = 2,039,013,733,068.82
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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.