Finding the Third Proportional to 177,044,494,264 and 271,961,998,776
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Solution
The third proportional to 177,044,494,264 and 271,961,998,776 is: 417,766,895,749.65
Step by Step Solution
- Step 1: Write the proportion equation
177,044,494,264 : 271,961,998,776 = 271,961,998,776 : x - Step 2: Convert to fraction form
177,044,494,264/271,961,998,776 = 271,961,998,776/x - Step 3: Cross multiply
177,044,494,264x = 271,961,998,776 × 271,961,998,776 - Step 4: Simplify right side
177,044,494,264x = 73,963,328,778,237,024,141,312 - Step 5: Solve for x
x = 73,963,328,778,237,024,141,312/177,044,494,264 - Step 6: Final answer
x = 417,766,895,749.65
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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.