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Finding the Third Proportional to 5,178,900 and 7,840,326

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Solution

The third proportional to 5,178,900 and 7,840,326 is: 11,869,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,900 : 7,840,326 = 7,840,326 : x
  2. Step 2: Convert to fraction form
    5,178,900/7,840,326 = 7,840,326/x
  3. Step 3: Cross multiply
    5,178,900x = 7,840,326 × 7,840,326
  4. Step 4: Simplify right side
    5,178,900x = 61,470,711,786,276
  5. Step 5: Solve for x
    x = 61,470,711,786,276/5,178,900
  6. Step 6: Final answer
    x = 11,869,453.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.