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Finding the Third Proportional to 7,089,024 and 15,186,812

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Solution

The third proportional to 7,089,024 and 15,186,812 is: 32,534,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089,024 : 15,186,812 = 15,186,812 : x
  2. Step 2: Convert to fraction form
    7,089,024/15,186,812 = 15,186,812/x
  3. Step 3: Cross multiply
    7,089,024x = 15,186,812 × 15,186,812
  4. Step 4: Simplify right side
    7,089,024x = 230,639,258,723,344
  5. Step 5: Solve for x
    x = 230,639,258,723,344/7,089,024
  6. Step 6: Final answer
    x = 32,534,698.53

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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.