Finding the Third Proportional to 31,461,772,310 and 67,411,165,264
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Solution
The third proportional to 31,461,772,310 and 67,411,165,264 is: 144,437,673,678.22
Step by Step Solution
- Step 1: Write the proportion equation
31,461,772,310 : 67,411,165,264 = 67,411,165,264 : x - Step 2: Convert to fraction form
31,461,772,310/67,411,165,264 = 67,411,165,264/x - Step 3: Cross multiply
31,461,772,310x = 67,411,165,264 × 67,411,165,264 - Step 4: Simplify right side
31,461,772,310x = 4,544,265,202,250,320,183,296 - Step 5: Solve for x
x = 4,544,265,202,250,320,183,296/31,461,772,310 - Step 6: Final answer
x = 144,437,673,678.22
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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.