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Finding the Third Proportional to 945,167,028,243.75 and 2,033,686,089,419

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Solution

The third proportional to 945,167,028,243.75 and 2,033,686,089,419 is: 4,375,818,227,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,167,028,243.75 : 2,033,686,089,419 = 2,033,686,089,419 : x
  2. Step 2: Convert to fraction form
    945,167,028,243.75/2,033,686,089,419 = 2,033,686,089,419/x
  3. Step 3: Cross multiply
    945,167,028,243.75x = 2,033,686,089,419 × 2,033,686,089,419
  4. Step 4: Simplify right side
    945,167,028,243.75x = 4,135,879,110,296,344,824,119,296
  5. Step 5: Solve for x
    x = 4,135,879,110,296,344,824,119,296/945,167,028,243.75
  6. Step 6: Final answer
    x = 4,375,818,227,579.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.