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Finding the Third Proportional to 5,769,678 and 9,136,137

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Solution

The third proportional to 5,769,678 and 9,136,137 is: 14,466,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,678 : 9,136,137 = 9,136,137 : x
  2. Step 2: Convert to fraction form
    5,769,678/9,136,137 = 9,136,137/x
  3. Step 3: Cross multiply
    5,769,678x = 9,136,137 × 9,136,137
  4. Step 4: Simplify right side
    5,769,678x = 83,468,999,282,769
  5. Step 5: Solve for x
    x = 83,468,999,282,769/5,769,678
  6. Step 6: Final answer
    x = 14,466,838.41

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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.