Finding the Third Proportional to 648,560,517,504.18 and 1,394,727,162,739.40
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Solution
The third proportional to 648,560,517,504.18 and 1,394,727,162,739.40 is: 2,999,355,967,533.99
Step by Step Solution
- Step 1: Write the proportion equation
648,560,517,504.18 : 1,394,727,162,739.40 = 1,394,727,162,739.40 : x - Step 2: Convert to fraction form
648,560,517,504.18/1,394,727,162,739.40 = 1,394,727,162,739.40/x - Step 3: Cross multiply
648,560,517,504.18x = 1,394,727,162,739.40 × 1,394,727,162,739.40 - Step 4: Simplify right side
648,560,517,504.18x = 1,945,263,858,483,096,467,800,064 - Step 5: Solve for x
x = 1,945,263,858,483,096,467,800,064/648,560,517,504.18 - Step 6: Final answer
x = 2,999,355,967,533.99
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.