Finding the Third Proportional to 213,183,674,974 and 474,032,176,984
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Solution
The third proportional to 213,183,674,974 and 474,032,176,984 is: 1,054,051,183,063.60
Step by Step Solution
- Step 1: Write the proportion equation
213,183,674,974 : 474,032,176,984 = 474,032,176,984 : x - Step 2: Convert to fraction form
213,183,674,974/474,032,176,984 = 474,032,176,984/x - Step 3: Cross multiply
213,183,674,974x = 474,032,176,984 × 474,032,176,984 - Step 4: Simplify right side
213,183,674,974x = 224,706,504,816,190,308,745,216 - Step 5: Solve for x
x = 224,706,504,816,190,308,745,216/213,183,674,974 - Step 6: Final answer
x = 1,054,051,183,063.60
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.