Finding the Third Proportional to 460,350,992 and 986,201,824
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Solution
The third proportional to 460,350,992 and 986,201,824 is: 2,112,722,801.87
Step by Step Solution
- Step 1: Write the proportion equation
460,350,992 : 986,201,824 = 986,201,824 : x - Step 2: Convert to fraction form
460,350,992/986,201,824 = 986,201,824/x - Step 3: Cross multiply
460,350,992x = 986,201,824 × 986,201,824 - Step 4: Simplify right side
460,350,992x = 972,594,037,660,926,976 - Step 5: Solve for x
x = 972,594,037,660,926,976/460,350,992 - Step 6: Final answer
x = 2,112,722,801.87
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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.