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Finding the Third Proportional to 9,163,845 and 13,587,201

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Solution

The third proportional to 9,163,845 and 13,587,201 is: 20,145,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163,845 : 13,587,201 = 13,587,201 : x
  2. Step 2: Convert to fraction form
    9,163,845/13,587,201 = 13,587,201/x
  3. Step 3: Cross multiply
    9,163,845x = 13,587,201 × 13,587,201
  4. Step 4: Simplify right side
    9,163,845x = 184,612,031,014,401
  5. Step 5: Solve for x
    x = 184,612,031,014,401/9,163,845
  6. Step 6: Final answer
    x = 20,145,695.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.