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Finding the Third Proportional to 56,089,827 and 83,910,522.75

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Solution

The third proportional to 56,089,827 and 83,910,522.75 is: 125,530,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,089,827 : 83,910,522.75 = 83,910,522.75 : x
  2. Step 2: Convert to fraction form
    56,089,827/83,910,522.75 = 83,910,522.75/x
  3. Step 3: Cross multiply
    56,089,827x = 83,910,522.75 × 83,910,522.75
  4. Step 4: Simplify right side
    56,089,827x = 7,040,975,828,178,268
  5. Step 5: Solve for x
    x = 7,040,975,828,178,268/56,089,827
  6. Step 6: Final answer
    x = 125,530,353.81

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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.