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Finding the Third Proportional to 11,147,679 and 16,291,377

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Solution

The third proportional to 11,147,679 and 16,291,377 is: 23,808,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147,679 : 16,291,377 = 16,291,377 : x
  2. Step 2: Convert to fraction form
    11,147,679/16,291,377 = 16,291,377/x
  3. Step 3: Cross multiply
    11,147,679x = 16,291,377 × 16,291,377
  4. Step 4: Simplify right side
    11,147,679x = 265,408,964,556,129
  5. Step 5: Solve for x
    x = 265,408,964,556,129/11,147,679
  6. Step 6: Final answer
    x = 23,808,450.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.