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Finding the Third Proportional to 251,923,595,928 and 555,197,243,021

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Solution

The third proportional to 251,923,595,928 and 555,197,243,021 is: 1,223,561,364,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,595,928 : 555,197,243,021 = 555,197,243,021 : x
  2. Step 2: Convert to fraction form
    251,923,595,928/555,197,243,021 = 555,197,243,021/x
  3. Step 3: Cross multiply
    251,923,595,928x = 555,197,243,021 × 555,197,243,021
  4. Step 4: Simplify right side
    251,923,595,928x = 308,243,978,658,119,336,067,072
  5. Step 5: Solve for x
    x = 308,243,978,658,119,336,067,072/251,923,595,928
  6. Step 6: Final answer
    x = 1,223,561,364,002.66

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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.