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Finding the Third Proportional to 11,742,696 and 16,536,378

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Solution

The third proportional to 11,742,696 and 16,536,378 is: 23,286,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,696 : 16,536,378 = 16,536,378 : x
  2. Step 2: Convert to fraction form
    11,742,696/16,536,378 = 16,536,378/x
  3. Step 3: Cross multiply
    11,742,696x = 16,536,378 × 16,536,378
  4. Step 4: Simplify right side
    11,742,696x = 273,451,797,358,884
  5. Step 5: Solve for x
    x = 273,451,797,358,884/11,742,696
  6. Step 6: Final answer
    x = 23,286,968.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.