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Finding the Third Proportional to 251,923,595,924 and 555,197,243,013

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Solution

The third proportional to 251,923,595,924 and 555,197,243,013 is: 1,223,561,363,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,595,924 : 555,197,243,013 = 555,197,243,013 : x
  2. Step 2: Convert to fraction form
    251,923,595,924/555,197,243,013 = 555,197,243,013/x
  3. Step 3: Cross multiply
    251,923,595,924x = 555,197,243,013 × 555,197,243,013
  4. Step 4: Simplify right side
    251,923,595,924x = 308,243,978,649,236,202,848,256
  5. Step 5: Solve for x
    x = 308,243,978,649,236,202,848,256/251,923,595,924
  6. Step 6: Final answer
    x = 1,223,561,363,986.83

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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.