Finding the Third Proportional to 592,277,278,638 and 902,293,465,221
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Solution
The third proportional to 592,277,278,638 and 902,293,465,221 is: 1,374,581,681,155.66
Step by Step Solution
- Step 1: Write the proportion equation
592,277,278,638 : 902,293,465,221 = 902,293,465,221 : x - Step 2: Convert to fraction form
592,277,278,638/902,293,465,221 = 902,293,465,221/x - Step 3: Cross multiply
592,277,278,638x = 902,293,465,221 × 902,293,465,221 - Step 4: Simplify right side
592,277,278,638x = 814,133,497,380,519,924,465,664 - Step 5: Solve for x
x = 814,133,497,380,519,924,465,664/592,277,278,638 - Step 6: Final answer
x = 1,374,581,681,155.66
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.