Finding the Third Proportional to 31,130,904,839,007 and 66,946,903,809,052
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Solution
The third proportional to 31,130,904,839,007 and 66,946,903,809,052 is: 143,969,086,436,660.81
Step by Step Solution
- Step 1: Write the proportion equation
31,130,904,839,007 : 66,946,903,809,052 = 66,946,903,809,052 : x - Step 2: Convert to fraction form
31,130,904,839,007/66,946,903,809,052 = 66,946,903,809,052/x - Step 3: Cross multiply
31,130,904,839,007x = 66,946,903,809,052 × 66,946,903,809,052 - Step 4: Simplify right side
31,130,904,839,007x = 4,481,887,929,618,461,031,613,333,504 - Step 5: Solve for x
x = 4,481,887,929,618,461,031,613,333,504/31,130,904,839,007 - Step 6: Final answer
x = 143,969,086,436,660.81
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.