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Finding the Third Proportional to 9,089,444 and 19,438,591

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Solution

The third proportional to 9,089,444 and 19,438,591 is: 41,571,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,444 : 19,438,591 = 19,438,591 : x
  2. Step 2: Convert to fraction form
    9,089,444/19,438,591 = 19,438,591/x
  3. Step 3: Cross multiply
    9,089,444x = 19,438,591 × 19,438,591
  4. Step 4: Simplify right side
    9,089,444x = 377,858,820,065,281
  5. Step 5: Solve for x
    x = 377,858,820,065,281/9,089,444
  6. Step 6: Final answer
    x = 41,571,169.82

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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.