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Finding the Third Proportional to 2,349,674,722 and 3,524,512,500

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Solution

The third proportional to 2,349,674,722 and 3,524,512,500 is: 5,286,769,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349,674,722 : 3,524,512,500 = 3,524,512,500 : x
  2. Step 2: Convert to fraction form
    2,349,674,722/3,524,512,500 = 3,524,512,500/x
  3. Step 3: Cross multiply
    2,349,674,722x = 3,524,512,500 × 3,524,512,500
  4. Step 4: Simplify right side
    2,349,674,722x = 12,422,188,362,656,249,856
  5. Step 5: Solve for x
    x = 12,422,188,362,656,249,856/2,349,674,722
  6. Step 6: Final answer
    x = 5,286,769,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.