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Finding the Third Proportional to 2,193,196.50 and 4,890,667.36

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Solution

The third proportional to 2,193,196.50 and 4,890,667.36 is: 10,905,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,196.50 : 4,890,667.36 = 4,890,667.36 : x
  2. Step 2: Convert to fraction form
    2,193,196.50/4,890,667.36 = 4,890,667.36/x
  3. Step 3: Cross multiply
    2,193,196.50x = 4,890,667.36 × 4,890,667.36
  4. Step 4: Simplify right side
    2,193,196.50x = 23,918,627,220,056.04
  5. Step 5: Solve for x
    x = 23,918,627,220,056.04/2,193,196.50
  6. Step 6: Final answer
    x = 10,905,829.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.