Finding the Third Proportional to 75,509,150,534 and 163,586,361,694
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Solution
The third proportional to 75,509,150,534 and 163,586,361,694 is: 354,400,725,515.12
Step by Step Solution
- Step 1: Write the proportion equation
75,509,150,534 : 163,586,361,694 = 163,586,361,694 : x - Step 2: Convert to fraction form
75,509,150,534/163,586,361,694 = 163,586,361,694/x - Step 3: Cross multiply
75,509,150,534x = 163,586,361,694 × 163,586,361,694 - Step 4: Simplify right side
75,509,150,534x = 26,760,497,732,280,192,598,016 - Step 5: Solve for x
x = 26,760,497,732,280,192,598,016/75,509,150,534 - Step 6: Final answer
x = 354,400,725,515.12
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.