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Finding the Third Proportional to 12,568,085 and 19,217,357

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Solution

The third proportional to 12,568,085 and 19,217,357 is: 29,384,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568,085 : 19,217,357 = 19,217,357 : x
  2. Step 2: Convert to fraction form
    12,568,085/19,217,357 = 19,217,357/x
  3. Step 3: Cross multiply
    12,568,085x = 19,217,357 × 19,217,357
  4. Step 4: Simplify right side
    12,568,085x = 369,306,810,065,449
  5. Step 5: Solve for x
    x = 369,306,810,065,449/12,568,085
  6. Step 6: Final answer
    x = 29,384,493.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.