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Finding the Third Proportional to 51,905,686 and 122,528,244

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Solution

The third proportional to 51,905,686 and 122,528,244 is: 289,239,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905,686 : 122,528,244 = 122,528,244 : x
  2. Step 2: Convert to fraction form
    51,905,686/122,528,244 = 122,528,244/x
  3. Step 3: Cross multiply
    51,905,686x = 122,528,244 × 122,528,244
  4. Step 4: Simplify right side
    51,905,686x = 15,013,170,577,723,536
  5. Step 5: Solve for x
    x = 15,013,170,577,723,536/51,905,686
  6. Step 6: Final answer
    x = 289,239,421.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.