Finding the Third Proportional to 472,965,178,512 and 979,455,783,648
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Solution
The third proportional to 472,965,178,512 and 979,455,783,648 is: 2,028,338,820,079.07
Step by Step Solution
- Step 1: Write the proportion equation
472,965,178,512 : 979,455,783,648 = 979,455,783,648 : x - Step 2: Convert to fraction form
472,965,178,512/979,455,783,648 = 979,455,783,648/x - Step 3: Cross multiply
472,965,178,512x = 979,455,783,648 × 979,455,783,648 - Step 4: Simplify right side
472,965,178,512x = 959,333,632,121,517,769,752,576 - Step 5: Solve for x
x = 959,333,632,121,517,769,752,576/472,965,178,512 - Step 6: Final answer
x = 2,028,338,820,079.07
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.