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Finding the Third Proportional to 19,476,709 and 30,394,147.50

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Solution

The third proportional to 19,476,709 and 30,394,147.50 is: 47,431,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476,709 : 30,394,147.50 = 30,394,147.50 : x
  2. Step 2: Convert to fraction form
    19,476,709/30,394,147.50 = 30,394,147.50/x
  3. Step 3: Cross multiply
    19,476,709x = 30,394,147.50 × 30,394,147.50
  4. Step 4: Simplify right side
    19,476,709x = 923,804,202,251,756.25
  5. Step 5: Solve for x
    x = 923,804,202,251,756.25/19,476,709
  6. Step 6: Final answer
    x = 47,431,226.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.