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Finding the Third Proportional to 3,196,886 and 6,848,631

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Solution

The third proportional to 3,196,886 and 6,848,631 is: 14,671,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,886 : 6,848,631 = 6,848,631 : x
  2. Step 2: Convert to fraction form
    3,196,886/6,848,631 = 6,848,631/x
  3. Step 3: Cross multiply
    3,196,886x = 6,848,631 × 6,848,631
  4. Step 4: Simplify right side
    3,196,886x = 46,903,746,574,161
  5. Step 5: Solve for x
    x = 46,903,746,574,161/3,196,886
  6. Step 6: Final answer
    x = 14,671,698.20

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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.