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Finding the Third Proportional to 5,769,659 and 9,136,107

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Solution

The third proportional to 5,769,659 and 9,136,107 is: 14,466,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,659 : 9,136,107 = 9,136,107 : x
  2. Step 2: Convert to fraction form
    5,769,659/9,136,107 = 9,136,107/x
  3. Step 3: Cross multiply
    5,769,659x = 9,136,107 × 9,136,107
  4. Step 4: Simplify right side
    5,769,659x = 83,468,451,115,449
  5. Step 5: Solve for x
    x = 83,468,451,115,449/5,769,659
  6. Step 6: Final answer
    x = 14,466,791.04

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Why These Related Problems?

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