Finding the Third Proportional to 408,826,126,818 and 894,591,092,996
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Solution
The third proportional to 408,826,126,818 and 894,591,092,996 is: 1,957,539,333,155.32
Step by Step Solution
- Step 1: Write the proportion equation
408,826,126,818 : 894,591,092,996 = 894,591,092,996 : x - Step 2: Convert to fraction form
408,826,126,818/894,591,092,996 = 894,591,092,996/x - Step 3: Cross multiply
408,826,126,818x = 894,591,092,996 × 894,591,092,996 - Step 4: Simplify right side
408,826,126,818x = 800,293,223,667,777,985,839,104 - Step 5: Solve for x
x = 800,293,223,667,777,985,839,104/408,826,126,818 - Step 6: Final answer
x = 1,957,539,333,155.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.