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Finding the Third Proportional to 6,239,610 and 13,627,524

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Solution

The third proportional to 6,239,610 and 13,627,524 is: 29,762,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239,610 : 13,627,524 = 13,627,524 : x
  2. Step 2: Convert to fraction form
    6,239,610/13,627,524 = 13,627,524/x
  3. Step 3: Cross multiply
    6,239,610x = 13,627,524 × 13,627,524
  4. Step 4: Simplify right side
    6,239,610x = 185,709,410,370,576
  5. Step 5: Solve for x
    x = 185,709,410,370,576/6,239,610
  6. Step 6: Final answer
    x = 29,762,983.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.