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Finding the Third Proportional to 6,229,608.75 and 9,430,480.69

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Solution

The third proportional to 6,229,608.75 and 9,430,480.69 is: 14,276,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229,608.75 : 9,430,480.69 = 9,430,480.69 : x
  2. Step 2: Convert to fraction form
    6,229,608.75/9,430,480.69 = 9,430,480.69/x
  3. Step 3: Cross multiply
    6,229,608.75x = 9,430,480.69 × 9,430,480.69
  4. Step 4: Simplify right side
    6,229,608.75x = 88,933,965,997,310.47
  5. Step 5: Solve for x
    x = 88,933,965,997,310.47/6,229,608.75
  6. Step 6: Final answer
    x = 14,276,011.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.