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Finding the Third Proportional to 12,939,874.50 and 27,697,467

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Solution

The third proportional to 12,939,874.50 and 27,697,467 is: 59,285,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939,874.50 : 27,697,467 = 27,697,467 : x
  2. Step 2: Convert to fraction form
    12,939,874.50/27,697,467 = 27,697,467/x
  3. Step 3: Cross multiply
    12,939,874.50x = 27,697,467 × 27,697,467
  4. Step 4: Simplify right side
    12,939,874.50x = 767,149,678,216,089
  5. Step 5: Solve for x
    x = 767,149,678,216,089/12,939,874.50
  6. Step 6: Final answer
    x = 59,285,712.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.