Finding the Third Proportional to 177,044,494,324 and 271,961,998,884
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Solution
The third proportional to 177,044,494,324 and 271,961,998,884 is: 417,766,895,939.87
Step by Step Solution
- Step 1: Write the proportion equation
177,044,494,324 : 271,961,998,884 = 271,961,998,884 : x - Step 2: Convert to fraction form
177,044,494,324/271,961,998,884 = 271,961,998,884/x - Step 3: Cross multiply
177,044,494,324x = 271,961,998,884 × 271,961,998,884 - Step 4: Simplify right side
177,044,494,324x = 73,963,328,836,980,818,575,360 - Step 5: Solve for x
x = 73,963,328,836,980,818,575,360/177,044,494,324 - Step 6: Final answer
x = 417,766,895,939.87
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.