Finding the Third Proportional to 820,834,405,028 and 1,765,201,565,464
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Solution
The third proportional to 820,834,405,028 and 1,765,201,565,464 is: 3,796,059,896,649.03
Step by Step Solution
- Step 1: Write the proportion equation
820,834,405,028 : 1,765,201,565,464 = 1,765,201,565,464 : x - Step 2: Convert to fraction form
820,834,405,028/1,765,201,565,464 = 1,765,201,565,464/x - Step 3: Cross multiply
820,834,405,028x = 1,765,201,565,464 × 1,765,201,565,464 - Step 4: Simplify right side
820,834,405,028x = 3,115,936,566,716,556,348,751,872 - Step 5: Solve for x
x = 3,115,936,566,716,556,348,751,872/820,834,405,028 - Step 6: Final answer
x = 3,796,059,896,649.03
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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.