Finding the Third Proportional to 825,231,945 and 1,234,576,028
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Solution
The third proportional to 825,231,945 and 1,234,576,028 is: 1,846,969,180.18
Step by Step Solution
- Step 1: Write the proportion equation
825,231,945 : 1,234,576,028 = 1,234,576,028 : x - Step 2: Convert to fraction form
825,231,945/1,234,576,028 = 1,234,576,028/x - Step 3: Cross multiply
825,231,945x = 1,234,576,028 × 1,234,576,028 - Step 4: Simplify right side
825,231,945x = 1,524,177,968,912,256,768 - Step 5: Solve for x
x = 1,524,177,968,912,256,768/825,231,945 - Step 6: Final answer
x = 1,846,969,180.18
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.