Finding the Third Proportional to 1,346,823,351,762 and 2,930,741,927,934
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Solution
The third proportional to 1,346,823,351,762 and 2,930,741,927,934 is: 6,377,412,625,726.53
Step by Step Solution
- Step 1: Write the proportion equation
1,346,823,351,762 : 2,930,741,927,934 = 2,930,741,927,934 : x - Step 2: Convert to fraction form
1,346,823,351,762/2,930,741,927,934 = 2,930,741,927,934/x - Step 3: Cross multiply
1,346,823,351,762x = 2,930,741,927,934 × 2,930,741,927,934 - Step 4: Simplify right side
1,346,823,351,762x = 8,589,248,248,150,299,036,876,800 - Step 5: Solve for x
x = 8,589,248,248,150,299,036,876,800/1,346,823,351,762 - Step 6: Final answer
x = 6,377,412,625,726.53
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.