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Finding the Third Proportional to 13,522,069.13 and 31,888,464.75

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Solution

The third proportional to 13,522,069.13 and 31,888,464.75 is: 75,201,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522,069.13 : 31,888,464.75 = 31,888,464.75 : x
  2. Step 2: Convert to fraction form
    13,522,069.13/31,888,464.75 = 31,888,464.75/x
  3. Step 3: Cross multiply
    13,522,069.13x = 31,888,464.75 × 31,888,464.75
  4. Step 4: Simplify right side
    13,522,069.13x = 1,016,874,184,111,992.50
  5. Step 5: Solve for x
    x = 1,016,874,184,111,992.50/13,522,069.13
  6. Step 6: Final answer
    x = 75,201,078.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.