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Finding the Third Proportional to 5,769,900 and 9,136,494

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Solution

The third proportional to 5,769,900 and 9,136,494 is: 14,467,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,900 : 9,136,494 = 9,136,494 : x
  2. Step 2: Convert to fraction form
    5,769,900/9,136,494 = 9,136,494/x
  3. Step 3: Cross multiply
    5,769,900x = 9,136,494 × 9,136,494
  4. Step 4: Simplify right side
    5,769,900x = 83,475,522,612,036
  5. Step 5: Solve for x
    x = 83,475,522,612,036/5,769,900
  6. Step 6: Final answer
    x = 14,467,412.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.