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Finding the Third Proportional to 2,349,674,706 and 3,524,512,476

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Solution

The third proportional to 2,349,674,706 and 3,524,512,476 is: 5,286,769,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349,674,706 : 3,524,512,476 = 3,524,512,476 : x
  2. Step 2: Convert to fraction form
    2,349,674,706/3,524,512,476 = 3,524,512,476/x
  3. Step 3: Cross multiply
    2,349,674,706x = 3,524,512,476 × 3,524,512,476
  4. Step 4: Simplify right side
    2,349,674,706x = 12,422,188,193,479,651,328
  5. Step 5: Solve for x
    x = 12,422,188,193,479,651,328/2,349,674,706
  6. Step 6: Final answer
    x = 5,286,769,339.50

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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.