Finding the Third Proportional to 308,111,632,728 and 670,922,185,512
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Solution
The third proportional to 308,111,632,728 and 670,922,185,512 is: 1,460,952,885,896.32
Step by Step Solution
- Step 1: Write the proportion equation
308,111,632,728 : 670,922,185,512 = 670,922,185,512 : x - Step 2: Convert to fraction form
308,111,632,728/670,922,185,512 = 670,922,185,512/x - Step 3: Cross multiply
308,111,632,728x = 670,922,185,512 × 670,922,185,512 - Step 4: Simplify right side
308,111,632,728x = 450,136,579,012,198,523,731,968 - Step 5: Solve for x
x = 450,136,579,012,198,523,731,968/308,111,632,728 - Step 6: Final answer
x = 1,460,952,885,896.32
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.