Finding the Third Proportional to 494,480,334,829 and 1,071,108,946,946
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Solution
The third proportional to 494,480,334,829 and 1,071,108,946,946 is: 2,320,161,784,845.33
Step by Step Solution
- Step 1: Write the proportion equation
494,480,334,829 : 1,071,108,946,946 = 1,071,108,946,946 : x - Step 2: Convert to fraction form
494,480,334,829/1,071,108,946,946 = 1,071,108,946,946/x - Step 3: Cross multiply
494,480,334,829x = 1,071,108,946,946 × 1,071,108,946,946 - Step 4: Simplify right side
494,480,334,829x = 1,147,274,376,227,769,037,094,912 - Step 5: Solve for x
x = 1,147,274,376,227,769,037,094,912/494,480,334,829 - Step 6: Final answer
x = 2,320,161,784,845.33
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.