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Finding the Third Proportional to 5,089,671 and 10,533,615.75

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Solution

The third proportional to 5,089,671 and 10,533,615.75 is: 21,800,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089,671 : 10,533,615.75 = 10,533,615.75 : x
  2. Step 2: Convert to fraction form
    5,089,671/10,533,615.75 = 10,533,615.75/x
  3. Step 3: Cross multiply
    5,089,671x = 10,533,615.75 × 10,533,615.75
  4. Step 4: Simplify right side
    5,089,671x = 110,957,060,768,648.06
  5. Step 5: Solve for x
    x = 110,957,060,768,648.06/5,089,671
  6. Step 6: Final answer
    x = 21,800,438.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.