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Finding the Third Proportional to 3,196,913 and 6,848,683

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Solution

The third proportional to 3,196,913 and 6,848,683 is: 14,671,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,913 : 6,848,683 = 6,848,683 : x
  2. Step 2: Convert to fraction form
    3,196,913/6,848,683 = 6,848,683/x
  3. Step 3: Cross multiply
    3,196,913x = 6,848,683 × 6,848,683
  4. Step 4: Simplify right side
    3,196,913x = 46,904,458,834,489
  5. Step 5: Solve for x
    x = 46,904,458,834,489/3,196,913
  6. Step 6: Final answer
    x = 14,671,797.09

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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.