Finding the Third Proportional to 4,743,993,408,398 and 6,680,588,102,921
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Solution
The third proportional to 4,743,993,408,398 and 6,680,588,102,921 is: 9,407,740,179,799.45
Step by Step Solution
- Step 1: Write the proportion equation
4,743,993,408,398 : 6,680,588,102,921 = 6,680,588,102,921 : x - Step 2: Convert to fraction form
4,743,993,408,398/6,680,588,102,921 = 6,680,588,102,921/x - Step 3: Cross multiply
4,743,993,408,398x = 6,680,588,102,921 × 6,680,588,102,921 - Step 4: Simplify right side
4,743,993,408,398x = 44,630,257,400,889,607,796,555,776 - Step 5: Solve for x
x = 44,630,257,400,889,607,796,555,776/4,743,993,408,398 - Step 6: Final answer
x = 9,407,740,179,799.45
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.