Finding the Third Proportional to 106,183,481,545 and 227,512,682,763
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Solution
The third proportional to 106,183,481,545 and 227,512,682,763 is: 487,477,148,656.88
Step by Step Solution
- Step 1: Write the proportion equation
106,183,481,545 : 227,512,682,763 = 227,512,682,763 : x - Step 2: Convert to fraction form
106,183,481,545/227,512,682,763 = 227,512,682,763/x - Step 3: Cross multiply
106,183,481,545x = 227,512,682,763 × 227,512,682,763 - Step 4: Simplify right side
106,183,481,545x = 51,762,020,818,017,474,052,096 - Step 5: Solve for x
x = 51,762,020,818,017,474,052,096/106,183,481,545 - Step 6: Final answer
x = 487,477,148,656.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.