Finding the Third Proportional to 31,461,970,357 and 67,411,556,714
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Solution
The third proportional to 31,461,970,357 and 67,411,556,714 is: 144,438,441,936.10
Step by Step Solution
- Step 1: Write the proportion equation
31,461,970,357 : 67,411,556,714 = 67,411,556,714 : x - Step 2: Convert to fraction form
31,461,970,357/67,411,556,714 = 67,411,556,714/x - Step 3: Cross multiply
31,461,970,357x = 67,411,556,714 × 67,411,556,714 - Step 4: Simplify right side
31,461,970,357x = 4,544,317,978,604,838,322,176 - Step 5: Solve for x
x = 4,544,317,978,604,838,322,176/31,461,970,357 - Step 6: Final answer
x = 144,438,441,936.10
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.