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Finding the Third Proportional to 10,676,749 and 16,546,011

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Solution

The third proportional to 10,676,749 and 16,546,011 is: 25,641,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,749 : 16,546,011 = 16,546,011 : x
  2. Step 2: Convert to fraction form
    10,676,749/16,546,011 = 16,546,011/x
  3. Step 3: Cross multiply
    10,676,749x = 16,546,011 × 16,546,011
  4. Step 4: Simplify right side
    10,676,749x = 273,770,480,012,121
  5. Step 5: Solve for x
    x = 273,770,480,012,121/10,676,749
  6. Step 6: Final answer
    x = 25,641,745.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.