Finding the Third Proportional to 1,160,830,311,690.50 and 2,525,467,777,540.70
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Solution
The third proportional to 1,160,830,311,690.50 and 2,525,467,777,540.70 is: 5,494,332,316,415.99
Step by Step Solution
- Step 1: Write the proportion equation
1,160,830,311,690.50 : 2,525,467,777,540.70 = 2,525,467,777,540.70 : x - Step 2: Convert to fraction form
1,160,830,311,690.50/2,525,467,777,540.70 = 2,525,467,777,540.70/x - Step 3: Cross multiply
1,160,830,311,690.50x = 2,525,467,777,540.70 × 2,525,467,777,540.70 - Step 4: Simplify right side
1,160,830,311,690.50x = 6,377,987,495,396,363,842,093,056 - Step 5: Solve for x
x = 6,377,987,495,396,363,842,093,056/1,160,830,311,690.50 - Step 6: Final answer
x = 5,494,332,316,415.99
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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.