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Finding the Third Proportional to 13,142,919 and 19,605,027

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Solution

The third proportional to 13,142,919 and 19,605,027 is: 29,244,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142,919 : 19,605,027 = 19,605,027 : x
  2. Step 2: Convert to fraction form
    13,142,919/19,605,027 = 19,605,027/x
  3. Step 3: Cross multiply
    13,142,919x = 19,605,027 × 19,605,027
  4. Step 4: Simplify right side
    13,142,919x = 384,357,083,670,729
  5. Step 5: Solve for x
    x = 384,357,083,670,729/13,142,919
  6. Step 6: Final answer
    x = 29,244,423.07

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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.