Finding the Third Proportional to 3,677,658,236,995 and 8,592,669,394,736
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Solution
The third proportional to 3,677,658,236,995 and 8,592,669,394,736 is: 20,076,353,638,439.82
Step by Step Solution
- Step 1: Write the proportion equation
3,677,658,236,995 : 8,592,669,394,736 = 8,592,669,394,736 : x - Step 2: Convert to fraction form
3,677,658,236,995/8,592,669,394,736 = 8,592,669,394,736/x - Step 3: Cross multiply
3,677,658,236,995x = 8,592,669,394,736 × 8,592,669,394,736 - Step 4: Simplify right side
3,677,658,236,995x = 73,833,967,327,232,735,353,765,888 - Step 5: Solve for x
x = 73,833,967,327,232,735,353,765,888/3,677,658,236,995 - Step 6: Final answer
x = 20,076,353,638,439.82
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.