Finding the Third Proportional to 284,438,538,859.50 and 410,964,569,247.36
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Solution
The third proportional to 284,438,538,859.50 and 410,964,569,247.36 is: 593,772,833,505.14
Step by Step Solution
- Step 1: Write the proportion equation
284,438,538,859.50 : 410,964,569,247.36 = 410,964,569,247.36 : x - Step 2: Convert to fraction form
284,438,538,859.50/410,964,569,247.36 = 410,964,569,247.36/x - Step 3: Cross multiply
284,438,538,859.50x = 410,964,569,247.36 × 410,964,569,247.36 - Step 4: Simplify right side
284,438,538,859.50x = 168,891,877,176,668,143,484,928 - Step 5: Solve for x
x = 168,891,877,176,668,143,484,928/284,438,538,859.50 - Step 6: Final answer
x = 593,772,833,505.14
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.