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Finding the Third Proportional to 9,089,032 and 13,601,345

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Solution

The third proportional to 9,089,032 and 13,601,345 is: 20,353,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,032 : 13,601,345 = 13,601,345 : x
  2. Step 2: Convert to fraction form
    9,089,032/13,601,345 = 13,601,345/x
  3. Step 3: Cross multiply
    9,089,032x = 13,601,345 × 13,601,345
  4. Step 4: Simplify right side
    9,089,032x = 184,996,585,809,025
  5. Step 5: Solve for x
    x = 184,996,585,809,025/9,089,032
  6. Step 6: Final answer
    x = 20,353,827.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.