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Finding the Third Proportional to 183,274,347,463 and 394,558,720,380

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Solution

The third proportional to 183,274,347,463 and 394,558,720,380 is: 849,418,295,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,274,347,463 : 394,558,720,380 = 394,558,720,380 : x
  2. Step 2: Convert to fraction form
    183,274,347,463/394,558,720,380 = 394,558,720,380/x
  3. Step 3: Cross multiply
    183,274,347,463x = 394,558,720,380 × 394,558,720,380
  4. Step 4: Simplify right side
    183,274,347,463x = 155,676,583,827,903,013,191,680
  5. Step 5: Solve for x
    x = 155,676,583,827,903,013,191,680/183,274,347,463
  6. Step 6: Final answer
    x = 849,418,295,483.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.