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Finding the Third Proportional to 879,306,601,610 and 1,904,623,097,110

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Solution

The third proportional to 879,306,601,610 and 1,904,623,097,110 is: 4,125,511,096,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,306,601,610 : 1,904,623,097,110 = 1,904,623,097,110 : x
  2. Step 2: Convert to fraction form
    879,306,601,610/1,904,623,097,110 = 1,904,623,097,110/x
  3. Step 3: Cross multiply
    879,306,601,610x = 1,904,623,097,110 × 1,904,623,097,110
  4. Step 4: Simplify right side
    879,306,601,610x = 3,627,589,142,044,888,648,384,512
  5. Step 5: Solve for x
    x = 3,627,589,142,044,888,648,384,512/879,306,601,610
  6. Step 6: Final answer
    x = 4,125,511,096,360.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.