Finding the Third Proportional to 27,311,682,833,384 and 58,976,374,243,874
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Solution
The third proportional to 27,311,682,833,384 and 58,976,374,243,874 is: 127,352,559,714,919.77
Step by Step Solution
- Step 1: Write the proportion equation
27,311,682,833,384 : 58,976,374,243,874 = 58,976,374,243,874 : x - Step 2: Convert to fraction form
27,311,682,833,384/58,976,374,243,874 = 58,976,374,243,874/x - Step 3: Cross multiply
27,311,682,833,384x = 58,976,374,243,874 × 58,976,374,243,874 - Step 4: Simplify right side
27,311,682,833,384x = 3,478,212,718,953,484,779,067,015,168 - Step 5: Solve for x
x = 3,478,212,718,953,484,779,067,015,168/27,311,682,833,384 - Step 6: Final answer
x = 127,352,559,714,919.77
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.