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Finding the Third Proportional to 6,346,125 and 9,667,984.50

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Solution

The third proportional to 6,346,125 and 9,667,984.50 is: 14,728,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,125 : 9,667,984.50 = 9,667,984.50 : x
  2. Step 2: Convert to fraction form
    6,346,125/9,667,984.50 = 9,667,984.50/x
  3. Step 3: Cross multiply
    6,346,125x = 9,667,984.50 × 9,667,984.50
  4. Step 4: Simplify right side
    6,346,125x = 93,469,924,292,240.25
  5. Step 5: Solve for x
    x = 93,469,924,292,240.25/6,346,125
  6. Step 6: Final answer
    x = 14,728,661.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.