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Finding the Third Proportional to 4,475,293.03 and 6,629,028.61

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Solution

The third proportional to 4,475,293.03 and 6,629,028.61 is: 9,819,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475,293.03 : 6,629,028.61 = 6,629,028.61 : x
  2. Step 2: Convert to fraction form
    4,475,293.03/6,629,028.61 = 6,629,028.61/x
  3. Step 3: Cross multiply
    4,475,293.03x = 6,629,028.61 × 6,629,028.61
  4. Step 4: Simplify right side
    4,475,293.03x = 43,944,020,303,912.25
  5. Step 5: Solve for x
    x = 43,944,020,303,912.25/4,475,293.03
  6. Step 6: Final answer
    x = 9,819,249.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.