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Finding the Third Proportional to 12,839,311.74 and 26,127,025.40

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Solution

The third proportional to 12,839,311.74 and 26,127,025.40 is: 53,166,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839,311.74 : 26,127,025.40 = 26,127,025.40 : x
  2. Step 2: Convert to fraction form
    12,839,311.74/26,127,025.40 = 26,127,025.40/x
  3. Step 3: Cross multiply
    12,839,311.74x = 26,127,025.40 × 26,127,025.40
  4. Step 4: Simplify right side
    12,839,311.74x = 682,621,456,272,676.50
  5. Step 5: Solve for x
    x = 682,621,456,272,676.50/12,839,311.74
  6. Step 6: Final answer
    x = 53,166,514.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.