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Finding the Third Proportional to 17,024,225 and 23,888,401

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Solution

The third proportional to 17,024,225 and 23,888,401 is: 33,520,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024,225 : 23,888,401 = 23,888,401 : x
  2. Step 2: Convert to fraction form
    17,024,225/23,888,401 = 23,888,401/x
  3. Step 3: Cross multiply
    17,024,225x = 23,888,401 × 23,888,401
  4. Step 4: Simplify right side
    17,024,225x = 570,655,702,336,801
  5. Step 5: Solve for x
    x = 570,655,702,336,801/17,024,225
  6. Step 6: Final answer
    x = 33,520,216.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.