Finding the Third Proportional to 474,356,839,084 and 722,649,832,314
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Solution
The third proportional to 474,356,839,084 and 722,649,832,314 is: 1,100,907,032,671.61
Step by Step Solution
- Step 1: Write the proportion equation
474,356,839,084 : 722,649,832,314 = 722,649,832,314 : x - Step 2: Convert to fraction form
474,356,839,084/722,649,832,314 = 722,649,832,314/x - Step 3: Cross multiply
474,356,839,084x = 722,649,832,314 × 722,649,832,314 - Step 4: Simplify right side
474,356,839,084x = 522,222,780,143,452,314,140,672 - Step 5: Solve for x
x = 522,222,780,143,452,314,140,672/474,356,839,084 - Step 6: Final answer
x = 1,100,907,032,671.61
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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.