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Finding the Third Proportional to 16,709,852 and 25,175,408

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Solution

The third proportional to 16,709,852 and 25,175,408 is: 37,929,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709,852 : 25,175,408 = 25,175,408 : x
  2. Step 2: Convert to fraction form
    16,709,852/25,175,408 = 25,175,408/x
  3. Step 3: Cross multiply
    16,709,852x = 25,175,408 × 25,175,408
  4. Step 4: Simplify right side
    16,709,852x = 633,801,167,966,464
  5. Step 5: Solve for x
    x = 633,801,167,966,464/16,709,852
  6. Step 6: Final answer
    x = 37,929,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.