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Finding the Third Proportional to 224,470,558,624 and 488,456,987,976

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Solution

The third proportional to 224,470,558,624 and 488,456,987,976 is: 1,062,902,104,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,470,558,624 : 488,456,987,976 = 488,456,987,976 : x
  2. Step 2: Convert to fraction form
    224,470,558,624/488,456,987,976 = 488,456,987,976/x
  3. Step 3: Cross multiply
    224,470,558,624x = 488,456,987,976 × 488,456,987,976
  4. Step 4: Simplify right side
    224,470,558,624x = 238,590,229,102,586,220,249,088
  5. Step 5: Solve for x
    x = 238,590,229,102,586,220,249,088/224,470,558,624
  6. Step 6: Final answer
    x = 1,062,902,104,245.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.