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Finding the Third Proportional to 2,216,046 and 4,763,112

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Solution

The third proportional to 2,216,046 and 4,763,112 is: 10,237,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,046 : 4,763,112 = 4,763,112 : x
  2. Step 2: Convert to fraction form
    2,216,046/4,763,112 = 4,763,112/x
  3. Step 3: Cross multiply
    2,216,046x = 4,763,112 × 4,763,112
  4. Step 4: Simplify right side
    2,216,046x = 22,687,235,924,544
  5. Step 5: Solve for x
    x = 22,687,235,924,544/2,216,046
  6. Step 6: Final answer
    x = 10,237,709.83

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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.