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Finding the Third Proportional to 6,383,716 and 13,652,168

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Solution

The third proportional to 6,383,716 and 13,652,168 is: 29,196,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,716 : 13,652,168 = 13,652,168 : x
  2. Step 2: Convert to fraction form
    6,383,716/13,652,168 = 13,652,168/x
  3. Step 3: Cross multiply
    6,383,716x = 13,652,168 × 13,652,168
  4. Step 4: Simplify right side
    6,383,716x = 186,381,691,100,224
  5. Step 5: Solve for x
    x = 186,381,691,100,224/6,383,716
  6. Step 6: Final answer
    x = 29,196,425.89

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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.