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Finding the Third Proportional to 8,648,904,016 and 18,883,155,568

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Solution

The third proportional to 8,648,904,016 and 18,883,155,568 is: 41,227,601,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648,904,016 : 18,883,155,568 = 18,883,155,568 : x
  2. Step 2: Convert to fraction form
    8,648,904,016/18,883,155,568 = 18,883,155,568/x
  3. Step 3: Cross multiply
    8,648,904,016x = 18,883,155,568 × 18,883,155,568
  4. Step 4: Simplify right side
    8,648,904,016x = 356,573,564,205,289,373,696
  5. Step 5: Solve for x
    x = 356,573,564,205,289,373,696/8,648,904,016
  6. Step 6: Final answer
    x = 41,227,601,040.04

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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.