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Finding the Third Proportional to 3,256,848 and 6,946,524

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Solution

The third proportional to 3,256,848 and 6,946,524 is: 14,816,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,848 : 6,946,524 = 6,946,524 : x
  2. Step 2: Convert to fraction form
    3,256,848/6,946,524 = 6,946,524/x
  3. Step 3: Cross multiply
    3,256,848x = 6,946,524 × 6,946,524
  4. Step 4: Simplify right side
    3,256,848x = 48,254,195,682,576
  5. Step 5: Solve for x
    x = 48,254,195,682,576/3,256,848
  6. Step 6: Final answer
    x = 14,816,225.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.