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Finding the Third Proportional to 224,470,558,629 and 488,456,987,994

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Solution

The third proportional to 224,470,558,629 and 488,456,987,994 is: 1,062,902,104,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,470,558,629 : 488,456,987,994 = 488,456,987,994 : x
  2. Step 2: Convert to fraction form
    224,470,558,629/488,456,987,994 = 488,456,987,994/x
  3. Step 3: Cross multiply
    224,470,558,629x = 488,456,987,994 × 488,456,987,994
  4. Step 4: Simplify right side
    224,470,558,629x = 238,590,229,120,170,655,219,712
  5. Step 5: Solve for x
    x = 238,590,229,120,170,655,219,712/224,470,558,629
  6. Step 6: Final answer
    x = 1,062,902,104,300.04

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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.