Finding the Third Proportional to 54,634,927,026 and 121,832,194,194
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Solution
The third proportional to 54,634,927,026 and 121,832,194,194 is: 271,677,557,747.28
Step by Step Solution
- Step 1: Write the proportion equation
54,634,927,026 : 121,832,194,194 = 121,832,194,194 : x - Step 2: Convert to fraction form
54,634,927,026/121,832,194,194 = 121,832,194,194/x - Step 3: Cross multiply
54,634,927,026x = 121,832,194,194 × 121,832,194,194 - Step 4: Simplify right side
54,634,927,026x = 14,843,083,542,124,526,829,568 - Step 5: Solve for x
x = 14,843,083,542,124,526,829,568/54,634,927,026 - Step 6: Final answer
x = 271,677,557,747.28
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.