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Finding the Third Proportional to 4,783,005 and 7,106,375.25

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Solution

The third proportional to 4,783,005 and 7,106,375.25 is: 10,558,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783,005 : 7,106,375.25 = 7,106,375.25 : x
  2. Step 2: Convert to fraction form
    4,783,005/7,106,375.25 = 7,106,375.25/x
  3. Step 3: Cross multiply
    4,783,005x = 7,106,375.25 × 7,106,375.25
  4. Step 4: Simplify right side
    4,783,005x = 50,500,569,193,812.56
  5. Step 5: Solve for x
    x = 50,500,569,193,812.56/4,783,005
  6. Step 6: Final answer
    x = 10,558,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.