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Finding the Third Proportional to 13,050,967 and 19,567,395

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Solution

The third proportional to 13,050,967 and 19,567,395 is: 29,337,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050,967 : 19,567,395 = 19,567,395 : x
  2. Step 2: Convert to fraction form
    13,050,967/19,567,395 = 19,567,395/x
  3. Step 3: Cross multiply
    13,050,967x = 19,567,395 × 19,567,395
  4. Step 4: Simplify right side
    13,050,967x = 382,882,947,086,025
  5. Step 5: Solve for x
    x = 382,882,947,086,025/13,050,967
  6. Step 6: Final answer
    x = 29,337,515.53

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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.