Finding the Third Proportional to 800,477,165,925 and 1,219,471,591,974
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Solution
The third proportional to 800,477,165,925 and 1,219,471,591,974 is: 1,857,780,617,530.99
Step by Step Solution
- Step 1: Write the proportion equation
800,477,165,925 : 1,219,471,591,974 = 1,219,471,591,974 : x - Step 2: Convert to fraction form
800,477,165,925/1,219,471,591,974 = 1,219,471,591,974/x - Step 3: Cross multiply
800,477,165,925x = 1,219,471,591,974 × 1,219,471,591,974 - Step 4: Simplify right side
800,477,165,925x = 1,487,110,963,631,601,934,663,680 - Step 5: Solve for x
x = 1,487,110,963,631,601,934,663,680/800,477,165,925 - Step 6: Final answer
x = 1,857,780,617,530.99
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.