Finding the Third Proportional to 3,865,070,126,702 and 8,408,731,202,716
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Solution
The third proportional to 3,865,070,126,702 and 8,408,731,202,716 is: 18,293,784,620,115.70
Step by Step Solution
- Step 1: Write the proportion equation
3,865,070,126,702 : 8,408,731,202,716 = 8,408,731,202,716 : x - Step 2: Convert to fraction form
3,865,070,126,702/8,408,731,202,716 = 8,408,731,202,716/x - Step 3: Cross multiply
3,865,070,126,702x = 8,408,731,202,716 × 8,408,731,202,716 - Step 4: Simplify right side
3,865,070,126,702x = 70,706,760,439,529,666,162,720,768 - Step 5: Solve for x
x = 70,706,760,439,529,666,162,720,768/3,865,070,126,702 - Step 6: Final answer
x = 18,293,784,620,115.70
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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.