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Finding the Third Proportional to 4,378,947 and 6,973,152

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Solution

The third proportional to 4,378,947 and 6,973,152 is: 11,104,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378,947 : 6,973,152 = 6,973,152 : x
  2. Step 2: Convert to fraction form
    4,378,947/6,973,152 = 6,973,152/x
  3. Step 3: Cross multiply
    4,378,947x = 6,973,152 × 6,973,152
  4. Step 4: Simplify right side
    4,378,947x = 48,624,848,815,104
  5. Step 5: Solve for x
    x = 48,624,848,815,104/4,378,947
  6. Step 6: Final answer
    x = 11,104,233.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.