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Finding the Third Proportional to 13,583,082 and 20,549,610

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Solution

The third proportional to 13,583,082 and 20,549,610 is: 31,089,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583,082 : 20,549,610 = 20,549,610 : x
  2. Step 2: Convert to fraction form
    13,583,082/20,549,610 = 20,549,610/x
  3. Step 3: Cross multiply
    13,583,082x = 20,549,610 × 20,549,610
  4. Step 4: Simplify right side
    13,583,082x = 422,286,471,152,100
  5. Step 5: Solve for x
    x = 422,286,471,152,100/13,583,082
  6. Step 6: Final answer
    x = 31,089,149.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.