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Finding the Third Proportional to 11,100,617,926 and 23,970,481,832

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Solution

The third proportional to 11,100,617,926 and 23,970,481,832 is: 51,761,442,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100,617,926 : 23,970,481,832 = 23,970,481,832 : x
  2. Step 2: Convert to fraction form
    11,100,617,926/23,970,481,832 = 23,970,481,832/x
  3. Step 3: Cross multiply
    11,100,617,926x = 23,970,481,832 × 23,970,481,832
  4. Step 4: Simplify right side
    11,100,617,926x = 574,583,999,258,242,056,192
  5. Step 5: Solve for x
    x = 574,583,999,258,242,056,192/11,100,617,926
  6. Step 6: Final answer
    x = 51,761,442,749.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.