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Finding the Third Proportional to 11,546,898 and 16,143,243

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Solution

The third proportional to 11,546,898 and 16,143,243 is: 22,569,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546,898 : 16,143,243 = 16,143,243 : x
  2. Step 2: Convert to fraction form
    11,546,898/16,143,243 = 16,143,243/x
  3. Step 3: Cross multiply
    11,546,898x = 16,143,243 × 16,143,243
  4. Step 4: Simplify right side
    11,546,898x = 260,604,294,557,049
  5. Step 5: Solve for x
    x = 260,604,294,557,049/11,546,898
  6. Step 6: Final answer
    x = 22,569,203.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.