Finding the Third Proportional to 80,087,917,071 and 109,066,072,994
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Solution
The third proportional to 80,087,917,071 and 109,066,072,994 is: 148,529,375,133.92
Step by Step Solution
- Step 1: Write the proportion equation
80,087,917,071 : 109,066,072,994 = 109,066,072,994 : x - Step 2: Convert to fraction form
80,087,917,071/109,066,072,994 = 109,066,072,994/x - Step 3: Cross multiply
80,087,917,071x = 109,066,072,994 × 109,066,072,994 - Step 4: Simplify right side
80,087,917,071x = 11,895,408,278,332,535,472,128 - Step 5: Solve for x
x = 11,895,408,278,332,535,472,128/80,087,917,071 - Step 6: Final answer
x = 148,529,375,133.92
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.