Finding the Third Proportional to 311,892,815,652 and 683,577,527,664
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Solution
The third proportional to 311,892,815,652 and 683,577,527,664 is: 1,498,201,346,351.63
Step by Step Solution
- Step 1: Write the proportion equation
311,892,815,652 : 683,577,527,664 = 683,577,527,664 : x - Step 2: Convert to fraction form
311,892,815,652/683,577,527,664 = 683,577,527,664/x - Step 3: Cross multiply
311,892,815,652x = 683,577,527,664 × 683,577,527,664 - Step 4: Simplify right side
311,892,815,652x = 467,278,236,327,226,655,113,216 - Step 5: Solve for x
x = 467,278,236,327,226,655,113,216/311,892,815,652 - Step 6: Final answer
x = 1,498,201,346,351.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.