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Finding the Third Proportional to 6,675,429 and 13,704,742

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Solution

The third proportional to 6,675,429 and 13,704,742 is: 28,136,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,429 : 13,704,742 = 13,704,742 : x
  2. Step 2: Convert to fraction form
    6,675,429/13,704,742 = 13,704,742/x
  3. Step 3: Cross multiply
    6,675,429x = 13,704,742 × 13,704,742
  4. Step 4: Simplify right side
    6,675,429x = 187,819,953,286,564
  5. Step 5: Solve for x
    x = 187,819,953,286,564/6,675,429
  6. Step 6: Final answer
    x = 28,136,012.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.