Finding the Third Proportional to 400,710,706,814 and 873,421,481,596
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Solution
The third proportional to 400,710,706,814 and 873,421,481,596 is: 1,903,780,137,493.19
Step by Step Solution
- Step 1: Write the proportion equation
400,710,706,814 : 873,421,481,596 = 873,421,481,596 : x - Step 2: Convert to fraction form
400,710,706,814/873,421,481,596 = 873,421,481,596/x - Step 3: Cross multiply
400,710,706,814x = 873,421,481,596 × 873,421,481,596 - Step 4: Simplify right side
400,710,706,814x = 762,865,084,513,351,767,162,880 - Step 5: Solve for x
x = 762,865,084,513,351,767,162,880/400,710,706,814 - Step 6: Final answer
x = 1,903,780,137,493.19
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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.