Finding the Third Proportional to 431,398,826,352 and 937,884,924,376
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Solution
The third proportional to 431,398,826,352 and 937,884,924,376 is: 2,039,013,733,092.64
Step by Step Solution
- Step 1: Write the proportion equation
431,398,826,352 : 937,884,924,376 = 937,884,924,376 : x - Step 2: Convert to fraction form
431,398,826,352/937,884,924,376 = 937,884,924,376/x - Step 3: Cross multiply
431,398,826,352x = 937,884,924,376 × 937,884,924,376 - Step 4: Simplify right side
431,398,826,352x = 879,628,131,371,775,283,953,664 - Step 5: Solve for x
x = 879,628,131,371,775,283,953,664/431,398,826,352 - Step 6: Final answer
x = 2,039,013,733,092.64
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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.