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Finding the Third Proportional to 5,540,811,896 and 12,189,775,180

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Solution

The third proportional to 5,540,811,896 and 12,189,775,180 is: 26,817,481,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540,811,896 : 12,189,775,180 = 12,189,775,180 : x
  2. Step 2: Convert to fraction form
    5,540,811,896/12,189,775,180 = 12,189,775,180/x
  3. Step 3: Cross multiply
    5,540,811,896x = 12,189,775,180 × 12,189,775,180
  4. Step 4: Simplify right side
    5,540,811,896x = 148,590,618,938,944,028,672
  5. Step 5: Solve for x
    x = 148,590,618,938,944,028,672/5,540,811,896
  6. Step 6: Final answer
    x = 26,817,481,215.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.