Finding the Third Proportional to 3,865,070,126,704 and 8,408,731,202,720
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Solution
The third proportional to 3,865,070,126,704 and 8,408,731,202,720 is: 18,293,784,620,123.63
Step by Step Solution
- Step 1: Write the proportion equation
3,865,070,126,704 : 8,408,731,202,720 = 8,408,731,202,720 : x - Step 2: Convert to fraction form
3,865,070,126,704/8,408,731,202,720 = 8,408,731,202,720/x - Step 3: Cross multiply
3,865,070,126,704x = 8,408,731,202,720 × 8,408,731,202,720 - Step 4: Simplify right side
3,865,070,126,704x = 70,706,760,439,596,933,940,510,720 - Step 5: Solve for x
x = 70,706,760,439,596,933,940,510,720/3,865,070,126,704 - Step 6: Final answer
x = 18,293,784,620,123.63
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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.