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Finding the Third Proportional to 4,211,550 and 6,469,456.50

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Solution

The third proportional to 4,211,550 and 6,469,456.50 is: 9,937,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,550 : 6,469,456.50 = 6,469,456.50 : x
  2. Step 2: Convert to fraction form
    4,211,550/6,469,456.50 = 6,469,456.50/x
  3. Step 3: Cross multiply
    4,211,550x = 6,469,456.50 × 6,469,456.50
  4. Step 4: Simplify right side
    4,211,550x = 41,853,867,405,392.25
  5. Step 5: Solve for x
    x = 41,853,867,405,392.25/4,211,550
  6. Step 6: Final answer
    x = 9,937,877.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.