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Finding the Third Proportional to 11,404,898 and 23,618,211

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Solution

The third proportional to 11,404,898 and 23,618,211 is: 48,910,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404,898 : 23,618,211 = 23,618,211 : x
  2. Step 2: Convert to fraction form
    11,404,898/23,618,211 = 23,618,211/x
  3. Step 3: Cross multiply
    11,404,898x = 23,618,211 × 23,618,211
  4. Step 4: Simplify right side
    11,404,898x = 557,819,890,840,521
  5. Step 5: Solve for x
    x = 557,819,890,840,521/11,404,898
  6. Step 6: Final answer
    x = 48,910,554.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.