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Finding the Third Proportional to 4,947,189 and 7,567,909

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Solution

The third proportional to 4,947,189 and 7,567,909 is: 11,576,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,189 : 7,567,909 = 7,567,909 : x
  2. Step 2: Convert to fraction form
    4,947,189/7,567,909 = 7,567,909/x
  3. Step 3: Cross multiply
    4,947,189x = 7,567,909 × 7,567,909
  4. Step 4: Simplify right side
    4,947,189x = 57,273,246,632,281
  5. Step 5: Solve for x
    x = 57,273,246,632,281/4,947,189
  6. Step 6: Final answer
    x = 11,576,927.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.