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Finding the Third Proportional to 449,177,122,791 and 998,783,839,980

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Solution

The third proportional to 449,177,122,791 and 998,783,839,980 is: 2,220,881,492,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,177,122,791 : 998,783,839,980 = 998,783,839,980 : x
  2. Step 2: Convert to fraction form
    449,177,122,791/998,783,839,980 = 998,783,839,980/x
  3. Step 3: Cross multiply
    449,177,122,791x = 998,783,839,980 × 998,783,839,980
  4. Step 4: Simplify right side
    449,177,122,791x = 997,569,159,005,194,197,925,888
  5. Step 5: Solve for x
    x = 997,569,159,005,194,197,925,888/449,177,122,791
  6. Step 6: Final answer
    x = 2,220,881,492,821.17

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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.