Finding the Third Proportional to 243,210,194,082 and 523,022,686,062
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Solution
The third proportional to 243,210,194,082 and 523,022,686,062 is: 1,124,758,487,891.67
Step by Step Solution
- Step 1: Write the proportion equation
243,210,194,082 : 523,022,686,062 = 523,022,686,062 : x - Step 2: Convert to fraction form
243,210,194,082/523,022,686,062 = 523,022,686,062/x - Step 3: Cross multiply
243,210,194,082x = 523,022,686,062 × 523,022,686,062 - Step 4: Simplify right side
243,210,194,082x = 273,552,730,135,509,401,075,712 - Step 5: Solve for x
x = 273,552,730,135,509,401,075,712/243,210,194,082 - Step 6: Final answer
x = 1,124,758,487,891.67
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.