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Finding the Third Proportional to 11,441,930 and 16,964,911

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Solution

The third proportional to 11,441,930 and 16,964,911 is: 25,153,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441,930 : 16,964,911 = 16,964,911 : x
  2. Step 2: Convert to fraction form
    11,441,930/16,964,911 = 16,964,911/x
  3. Step 3: Cross multiply
    11,441,930x = 16,964,911 × 16,964,911
  4. Step 4: Simplify right side
    11,441,930x = 287,808,205,237,921
  5. Step 5: Solve for x
    x = 287,808,205,237,921/11,441,930
  6. Step 6: Final answer
    x = 25,153,816.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.