Finding the Third Proportional to 355,159,958,156 and 729,147,980,340
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Solution
The third proportional to 355,159,958,156 and 729,147,980,340 is: 1,496,950,219,259.73
Step by Step Solution
- Step 1: Write the proportion equation
355,159,958,156 : 729,147,980,340 = 729,147,980,340 : x - Step 2: Convert to fraction form
355,159,958,156/729,147,980,340 = 729,147,980,340/x - Step 3: Cross multiply
355,159,958,156x = 729,147,980,340 × 729,147,980,340 - Step 4: Simplify right side
355,159,958,156x = 531,656,777,233,901,023,133,696 - Step 5: Solve for x
x = 531,656,777,233,901,023,133,696/355,159,958,156 - Step 6: Final answer
x = 1,496,950,219,259.73
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.