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Finding the Third Proportional to 11,954,848 and 18,678,768

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Solution

The third proportional to 11,954,848 and 18,678,768 is: 29,184,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954,848 : 18,678,768 = 18,678,768 : x
  2. Step 2: Convert to fraction form
    11,954,848/18,678,768 = 18,678,768/x
  3. Step 3: Cross multiply
    11,954,848x = 18,678,768 × 18,678,768
  4. Step 4: Simplify right side
    11,954,848x = 348,896,373,997,824
  5. Step 5: Solve for x
    x = 348,896,373,997,824/11,954,848
  6. Step 6: Final answer
    x = 29,184,509.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.