Finding the Third Proportional to 66,785,117,786 and 145,570,246,900
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Solution
The third proportional to 66,785,117,786 and 145,570,246,900 is: 317,296,689,517.39
Step by Step Solution
- Step 1: Write the proportion equation
66,785,117,786 : 145,570,246,900 = 145,570,246,900 : x - Step 2: Convert to fraction form
66,785,117,786/145,570,246,900 = 145,570,246,900/x - Step 3: Cross multiply
66,785,117,786x = 145,570,246,900 × 145,570,246,900 - Step 4: Simplify right side
66,785,117,786x = 21,190,696,782,526,960,107,520 - Step 5: Solve for x
x = 21,190,696,782,526,960,107,520/66,785,117,786 - Step 6: Final answer
x = 317,296,689,517.39
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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.