Finding the Third Proportional to 31,049,042,888 and 67,538,199,368
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Solution
The third proportional to 31,049,042,888 and 67,538,199,368 is: 146,909,790,112.55
Step by Step Solution
- Step 1: Write the proportion equation
31,049,042,888 : 67,538,199,368 = 67,538,199,368 : x - Step 2: Convert to fraction form
31,049,042,888/67,538,199,368 = 67,538,199,368/x - Step 3: Cross multiply
31,049,042,888x = 67,538,199,368 × 67,538,199,368 - Step 4: Simplify right side
31,049,042,888x = 4,561,408,373,871,715,811,328 - Step 5: Solve for x
x = 4,561,408,373,871,715,811,328/31,049,042,888 - Step 6: Final answer
x = 146,909,790,112.55
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.