Finding the Third Proportional to 75,823,124 and 163,728,324
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Solution
The third proportional to 75,823,124 and 163,728,324 is: 353,546,024.82
Step by Step Solution
- Step 1: Write the proportion equation
75,823,124 : 163,728,324 = 163,728,324 : x - Step 2: Convert to fraction form
75,823,124/163,728,324 = 163,728,324/x - Step 3: Cross multiply
75,823,124x = 163,728,324 × 163,728,324 - Step 4: Simplify right side
75,823,124x = 26,806,964,079,848,976 - Step 5: Solve for x
x = 26,806,964,079,848,976/75,823,124 - Step 6: Final answer
x = 353,546,024.82
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.