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Finding the Third Proportional to 9,089,378 and 19,438,467

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Solution

The third proportional to 9,089,378 and 19,438,467 is: 41,570,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,378 : 19,438,467 = 19,438,467 : x
  2. Step 2: Convert to fraction form
    9,089,378/19,438,467 = 19,438,467/x
  3. Step 3: Cross multiply
    9,089,378x = 19,438,467 × 19,438,467
  4. Step 4: Simplify right side
    9,089,378x = 377,853,999,310,089
  5. Step 5: Solve for x
    x = 377,853,999,310,089/9,089,378
  6. Step 6: Final answer
    x = 41,570,941.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.