Finding the Third Proportional to 214,141,648,384 and 320,363,440,674
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Solution
The third proportional to 214,141,648,384 and 320,363,440,674 is: 479,274,979,411.95
Step by Step Solution
- Step 1: Write the proportion equation
214,141,648,384 : 320,363,440,674 = 320,363,440,674 : x - Step 2: Convert to fraction form
214,141,648,384/320,363,440,674 = 320,363,440,674/x - Step 3: Cross multiply
214,141,648,384x = 320,363,440,674 × 320,363,440,674 - Step 4: Simplify right side
214,141,648,384x = 102,632,734,120,483,517,104,128 - Step 5: Solve for x
x = 102,632,734,120,483,517,104,128/214,141,648,384 - Step 6: Final answer
x = 479,274,979,411.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.