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Finding the Third Proportional to 3,196,911 and 6,848,679

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Solution

The third proportional to 3,196,911 and 6,848,679 is: 14,671,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,911 : 6,848,679 = 6,848,679 : x
  2. Step 2: Convert to fraction form
    3,196,911/6,848,679 = 6,848,679/x
  3. Step 3: Cross multiply
    3,196,911x = 6,848,679 × 6,848,679
  4. Step 4: Simplify right side
    3,196,911x = 46,904,404,045,041
  5. Step 5: Solve for x
    x = 46,904,404,045,041/3,196,911
  6. Step 6: Final answer
    x = 14,671,789.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.