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Finding the Third Proportional to 12,634,640.72 and 19,408,354.23

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Solution

The third proportional to 12,634,640.72 and 19,408,354.23 is: 29,813,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634,640.72 : 19,408,354.23 = 19,408,354.23 : x
  2. Step 2: Convert to fraction form
    12,634,640.72/19,408,354.23 = 19,408,354.23/x
  3. Step 3: Cross multiply
    12,634,640.72x = 19,408,354.23 × 19,408,354.23
  4. Step 4: Simplify right side
    12,634,640.72x = 376,684,214,049,096.88
  5. Step 5: Solve for x
    x = 376,684,214,049,096.88/12,634,640.72
  6. Step 6: Final answer
    x = 29,813,607.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.