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Finding the Third Proportional to 3,215,050 and 6,872,256

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Solution

The third proportional to 3,215,050 and 6,872,256 is: 14,689,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,050 : 6,872,256 = 6,872,256 : x
  2. Step 2: Convert to fraction form
    3,215,050/6,872,256 = 6,872,256/x
  3. Step 3: Cross multiply
    3,215,050x = 6,872,256 × 6,872,256
  4. Step 4: Simplify right side
    3,215,050x = 47,227,902,529,536
  5. Step 5: Solve for x
    x = 47,227,902,529,536/3,215,050
  6. Step 6: Final answer
    x = 14,689,632.36

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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.