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Finding the Third Proportional to 11,111,786 and 16,697,266

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Solution

The third proportional to 11,111,786 and 16,697,266 is: 25,090,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111,786 : 16,697,266 = 16,697,266 : x
  2. Step 2: Convert to fraction form
    11,111,786/16,697,266 = 16,697,266/x
  3. Step 3: Cross multiply
    11,111,786x = 16,697,266 × 16,697,266
  4. Step 4: Simplify right side
    11,111,786x = 278,798,691,874,756
  5. Step 5: Solve for x
    x = 278,798,691,874,756/11,111,786
  6. Step 6: Final answer
    x = 25,090,358.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.