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Finding the Third Proportional to 10,993,077 and 16,161,201

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Solution

The third proportional to 10,993,077 and 16,161,201 is: 23,758,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993,077 : 16,161,201 = 16,161,201 : x
  2. Step 2: Convert to fraction form
    10,993,077/16,161,201 = 16,161,201/x
  3. Step 3: Cross multiply
    10,993,077x = 16,161,201 × 16,161,201
  4. Step 4: Simplify right side
    10,993,077x = 261,184,417,762,401
  5. Step 5: Solve for x
    x = 261,184,417,762,401/10,993,077
  6. Step 6: Final answer
    x = 23,758,991.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.