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Finding the Third Proportional to 8,950,930 and 13,766,163

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Solution

The third proportional to 8,950,930 and 13,766,163 is: 21,171,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950,930 : 13,766,163 = 13,766,163 : x
  2. Step 2: Convert to fraction form
    8,950,930/13,766,163 = 13,766,163/x
  3. Step 3: Cross multiply
    8,950,930x = 13,766,163 × 13,766,163
  4. Step 4: Simplify right side
    8,950,930x = 189,507,243,742,569
  5. Step 5: Solve for x
    x = 189,507,243,742,569/8,950,930
  6. Step 6: Final answer
    x = 21,171,793.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.