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Finding the Third Proportional to 12,942,106.50 and 20,603,414.25

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Solution

The third proportional to 12,942,106.50 and 20,603,414.25 is: 32,799,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942,106.50 : 20,603,414.25 = 20,603,414.25 : x
  2. Step 2: Convert to fraction form
    12,942,106.50/20,603,414.25 = 20,603,414.25/x
  3. Step 3: Cross multiply
    12,942,106.50x = 20,603,414.25 × 20,603,414.25
  4. Step 4: Simplify right side
    12,942,106.50x = 424,500,678,757,103.06
  5. Step 5: Solve for x
    x = 424,500,678,757,103.06/12,942,106.50
  6. Step 6: Final answer
    x = 32,799,967.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.