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Finding the Third Proportional to 251,923,589,946 and 555,197,230,833

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Solution

The third proportional to 251,923,589,946 and 555,197,230,833 is: 1,223,561,339,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,589,946 : 555,197,230,833 = 555,197,230,833 : x
  2. Step 2: Convert to fraction form
    251,923,589,946/555,197,230,833 = 555,197,230,833/x
  3. Step 3: Cross multiply
    251,923,589,946x = 555,197,230,833 × 555,197,230,833
  4. Step 4: Simplify right side
    251,923,589,946x = 308,243,965,124,631,483,908,096
  5. Step 5: Solve for x
    x = 308,243,965,124,631,483,908,096/251,923,589,946
  6. Step 6: Final answer
    x = 1,223,561,339,335.88

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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.