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Finding the Third Proportional to 2,216,009 and 4,763,050

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Solution

The third proportional to 2,216,009 and 4,763,050 is: 10,237,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,009 : 4,763,050 = 4,763,050 : x
  2. Step 2: Convert to fraction form
    2,216,009/4,763,050 = 4,763,050/x
  3. Step 3: Cross multiply
    2,216,009x = 4,763,050 × 4,763,050
  4. Step 4: Simplify right side
    2,216,009x = 22,686,645,302,500
  5. Step 5: Solve for x
    x = 22,686,645,302,500/2,216,009
  6. Step 6: Final answer
    x = 10,237,614.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.