Finding the Third Proportional to 179,472,010,700 and 387,599,579,828
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Solution
The third proportional to 179,472,010,700 and 387,599,579,828 is: 837,085,591,769.34
Step by Step Solution
- Step 1: Write the proportion equation
179,472,010,700 : 387,599,579,828 = 387,599,579,828 : x - Step 2: Convert to fraction form
179,472,010,700/387,599,579,828 = 387,599,579,828/x - Step 3: Cross multiply
179,472,010,700x = 387,599,579,828 × 387,599,579,828 - Step 4: Simplify right side
179,472,010,700x = 150,233,434,282,842,147,258,368 - Step 5: Solve for x
x = 150,233,434,282,842,147,258,368/179,472,010,700 - Step 6: Final answer
x = 837,085,591,769.34
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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.