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Finding the Third Proportional to 5,992,814 and 13,207,150

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Solution

The third proportional to 5,992,814 and 13,207,150 is: 29,106,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,814 : 13,207,150 = 13,207,150 : x
  2. Step 2: Convert to fraction form
    5,992,814/13,207,150 = 13,207,150/x
  3. Step 3: Cross multiply
    5,992,814x = 13,207,150 × 13,207,150
  4. Step 4: Simplify right side
    5,992,814x = 174,428,811,122,500
  5. Step 5: Solve for x
    x = 174,428,811,122,500/5,992,814
  6. Step 6: Final answer
    x = 29,106,328.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.