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Finding the Third Proportional to 11,199,097,844 and 23,995,594,059

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Solution

The third proportional to 11,199,097,844 and 23,995,594,059 is: 51,413,831,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199,097,844 : 23,995,594,059 = 23,995,594,059 : x
  2. Step 2: Convert to fraction form
    11,199,097,844/23,995,594,059 = 23,995,594,059/x
  3. Step 3: Cross multiply
    11,199,097,844x = 23,995,594,059 × 23,995,594,059
  4. Step 4: Simplify right side
    11,199,097,844x = 575,788,534,244,316,086,272
  5. Step 5: Solve for x
    x = 575,788,534,244,316,086,272/11,199,097,844
  6. Step 6: Final answer
    x = 51,413,831,923.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.