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Finding the Third Proportional to 13,192,565 and 20,181,201

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Solution

The third proportional to 13,192,565 and 20,181,201 is: 30,872,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192,565 : 20,181,201 = 20,181,201 : x
  2. Step 2: Convert to fraction form
    13,192,565/20,181,201 = 20,181,201/x
  3. Step 3: Cross multiply
    13,192,565x = 20,181,201 × 20,181,201
  4. Step 4: Simplify right side
    13,192,565x = 407,280,873,802,401
  5. Step 5: Solve for x
    x = 407,280,873,802,401/13,192,565
  6. Step 6: Final answer
    x = 30,872,000.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.