Finding the Third Proportional to 123,908,965,824 and 187,338,649,152
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Solution
The third proportional to 123,908,965,824 and 187,338,649,152 is: 283,238,337,377.02
Step by Step Solution
- Step 1: Write the proportion equation
123,908,965,824 : 187,338,649,152 = 187,338,649,152 : x - Step 2: Convert to fraction form
123,908,965,824/187,338,649,152 = 187,338,649,152/x - Step 3: Cross multiply
123,908,965,824x = 187,338,649,152 × 187,338,649,152 - Step 4: Simplify right side
123,908,965,824x = 35,095,769,466,096,150,642,688 - Step 5: Solve for x
x = 35,095,769,466,096,150,642,688/123,908,965,824 - Step 6: Final answer
x = 283,238,337,377.02
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.