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Finding the Third Proportional to 51,835,846 and 111,983,507

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Solution

The third proportional to 51,835,846 and 111,983,507 is: 241,923,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,835,846 : 111,983,507 = 111,983,507 : x
  2. Step 2: Convert to fraction form
    51,835,846/111,983,507 = 111,983,507/x
  3. Step 3: Cross multiply
    51,835,846x = 111,983,507 × 111,983,507
  4. Step 4: Simplify right side
    51,835,846x = 12,540,305,840,019,048
  5. Step 5: Solve for x
    x = 12,540,305,840,019,048/51,835,846
  6. Step 6: Final answer
    x = 241,923,433.45

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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.