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Finding the Third Proportional to 4,947,909 and 10,305,352.50

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Solution

The third proportional to 4,947,909 and 10,305,352.50 is: 21,463,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,909 : 10,305,352.50 = 10,305,352.50 : x
  2. Step 2: Convert to fraction form
    4,947,909/10,305,352.50 = 10,305,352.50/x
  3. Step 3: Cross multiply
    4,947,909x = 10,305,352.50 × 10,305,352.50
  4. Step 4: Simplify right side
    4,947,909x = 106,200,290,149,256.25
  5. Step 5: Solve for x
    x = 106,200,290,149,256.25/4,947,909
  6. Step 6: Final answer
    x = 21,463,670.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.