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Finding the Third Proportional to 4,211,306 and 8,622,107

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Solution

The third proportional to 4,211,306 and 8,622,107 is: 17,652,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,306 : 8,622,107 = 8,622,107 : x
  2. Step 2: Convert to fraction form
    4,211,306/8,622,107 = 8,622,107/x
  3. Step 3: Cross multiply
    4,211,306x = 8,622,107 × 8,622,107
  4. Step 4: Simplify right side
    4,211,306x = 74,340,729,119,449
  5. Step 5: Solve for x
    x = 74,340,729,119,449/4,211,306
  6. Step 6: Final answer
    x = 17,652,654.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.