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Finding the Third Proportional to 51,835,844 and 111,983,503

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Solution

The third proportional to 51,835,844 and 111,983,503 is: 241,923,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,835,844 : 111,983,503 = 111,983,503 : x
  2. Step 2: Convert to fraction form
    51,835,844/111,983,503 = 111,983,503/x
  3. Step 3: Cross multiply
    51,835,844x = 111,983,503 × 111,983,503
  4. Step 4: Simplify right side
    51,835,844x = 12,540,304,944,151,008
  5. Step 5: Solve for x
    x = 12,540,304,944,151,008/51,835,844
  6. Step 6: Final answer
    x = 241,923,425.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.