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Finding the Third Proportional to 2,353,325 and 5,138,221

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Solution

The third proportional to 2,353,325 and 5,138,221 is: 11,218,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,325 : 5,138,221 = 5,138,221 : x
  2. Step 2: Convert to fraction form
    2,353,325/5,138,221 = 5,138,221/x
  3. Step 3: Cross multiply
    2,353,325x = 5,138,221 × 5,138,221
  4. Step 4: Simplify right side
    2,353,325x = 26,401,315,044,841
  5. Step 5: Solve for x
    x = 26,401,315,044,841/2,353,325
  6. Step 6: Final answer
    x = 11,218,728.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.