Finding the Third Proportional to 55,983,023,064 and 123,377,169,456
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Solution
The third proportional to 55,983,023,064 and 123,377,169,456 is: 271,902,535,980.82
Step by Step Solution
- Step 1: Write the proportion equation
55,983,023,064 : 123,377,169,456 = 123,377,169,456 : x - Step 2: Convert to fraction form
55,983,023,064/123,377,169,456 = 123,377,169,456/x - Step 3: Cross multiply
55,983,023,064x = 123,377,169,456 × 123,377,169,456 - Step 4: Simplify right side
55,983,023,064x = 15,221,925,942,974,539,104,256 - Step 5: Solve for x
x = 15,221,925,942,974,539,104,256/55,983,023,064 - Step 6: Final answer
x = 271,902,535,980.82
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.