Finding the Third Proportional to 283,157,436,624 and 606,703,414,992
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Solution
The third proportional to 283,157,436,624 and 606,703,414,992 is: 1,299,944,787,435.46
Step by Step Solution
- Step 1: Write the proportion equation
283,157,436,624 : 606,703,414,992 = 606,703,414,992 : x - Step 2: Convert to fraction form
283,157,436,624/606,703,414,992 = 606,703,414,992/x - Step 3: Cross multiply
283,157,436,624x = 606,703,414,992 × 606,703,414,992 - Step 4: Simplify right side
283,157,436,624x = 368,089,033,762,954,947,854,336 - Step 5: Solve for x
x = 368,089,033,762,954,947,854,336/283,157,436,624 - Step 6: Final answer
x = 1,299,944,787,435.46
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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.