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Finding the Third Proportional to 6,235,872 and 13,600,224

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Solution

The third proportional to 6,235,872 and 13,600,224 is: 29,661,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235,872 : 13,600,224 = 13,600,224 : x
  2. Step 2: Convert to fraction form
    6,235,872/13,600,224 = 13,600,224/x
  3. Step 3: Cross multiply
    6,235,872x = 13,600,224 × 13,600,224
  4. Step 4: Simplify right side
    6,235,872x = 184,966,092,850,176
  5. Step 5: Solve for x
    x = 184,966,092,850,176/6,235,872
  6. Step 6: Final answer
    x = 29,661,624.36

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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.