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Finding the Third Proportional to 449,177,122,624 and 998,783,839,666

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Solution

The third proportional to 449,177,122,624 and 998,783,839,666 is: 2,220,881,492,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,177,122,624 : 998,783,839,666 = 998,783,839,666 : x
  2. Step 2: Convert to fraction form
    449,177,122,624/998,783,839,666 = 998,783,839,666/x
  3. Step 3: Cross multiply
    449,177,122,624x = 998,783,839,666 × 998,783,839,666
  4. Step 4: Simplify right side
    449,177,122,624x = 997,569,158,377,957,979,324,416
  5. Step 5: Solve for x
    x = 997,569,158,377,957,979,324,416/449,177,122,624
  6. Step 6: Final answer
    x = 2,220,881,492,250.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.