Finding the Third Proportional to 641,580,163,705.50 and 1,359,651,660,207.80
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Solution
The third proportional to 641,580,163,705.50 and 1,359,651,660,207.80 is: 2,881,405,538,520.36
Step by Step Solution
- Step 1: Write the proportion equation
641,580,163,705.50 : 1,359,651,660,207.80 = 1,359,651,660,207.80 : x - Step 2: Convert to fraction form
641,580,163,705.50/1,359,651,660,207.80 = 1,359,651,660,207.80/x - Step 3: Cross multiply
641,580,163,705.50x = 1,359,651,660,207.80 × 1,359,651,660,207.80 - Step 4: Simplify right side
641,580,163,705.50x = 1,848,652,637,105,827,061,170,176 - Step 5: Solve for x
x = 1,848,652,637,105,827,061,170,176/641,580,163,705.50 - Step 6: Final answer
x = 2,881,405,538,520.36
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.