Finding the Third Proportional to 730,144,442,666 and 1,560,771,632,596
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Solution
The third proportional to 730,144,442,666 and 1,560,771,632,596 is: 3,336,337,232,427.20
Step by Step Solution
- Step 1: Write the proportion equation
730,144,442,666 : 1,560,771,632,596 = 1,560,771,632,596 : x - Step 2: Convert to fraction form
730,144,442,666/1,560,771,632,596 = 1,560,771,632,596/x - Step 3: Cross multiply
730,144,442,666x = 1,560,771,632,596 × 1,560,771,632,596 - Step 4: Simplify right side
730,144,442,666x = 2,436,008,089,116,383,167,643,648 - Step 5: Solve for x
x = 2,436,008,089,116,383,167,643,648/730,144,442,666 - Step 6: Final answer
x = 3,336,337,232,427.20
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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.