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Finding the Third Proportional to 9,089,433 and 19,438,569

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Solution

The third proportional to 9,089,433 and 19,438,569 is: 41,571,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,433 : 19,438,569 = 19,438,569 : x
  2. Step 2: Convert to fraction form
    9,089,433/19,438,569 = 19,438,569/x
  3. Step 3: Cross multiply
    9,089,433x = 19,438,569 × 19,438,569
  4. Step 4: Simplify right side
    9,089,433x = 377,857,964,767,761
  5. Step 5: Solve for x
    x = 377,857,964,767,761/9,089,433
  6. Step 6: Final answer
    x = 41,571,126.03

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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.