Finding the Third Proportional to 859,597,092,016 and 1,839,947,145,656
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Solution
The third proportional to 859,597,092,016 and 1,839,947,145,656 is: 3,938,363,135,766.23
Step by Step Solution
- Step 1: Write the proportion equation
859,597,092,016 : 1,839,947,145,656 = 1,839,947,145,656 : x - Step 2: Convert to fraction form
859,597,092,016/1,839,947,145,656 = 1,839,947,145,656/x - Step 3: Cross multiply
859,597,092,016x = 1,839,947,145,656 × 1,839,947,145,656 - Step 4: Simplify right side
859,597,092,016x = 3,385,405,498,807,661,939,916,800 - Step 5: Solve for x
x = 3,385,405,498,807,661,939,916,800/859,597,092,016 - Step 6: Final answer
x = 3,938,363,135,766.23
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.