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Finding the Third Proportional to 11,219,721 and 24,210,912

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Solution

The third proportional to 11,219,721 and 24,210,912 is: 52,244,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219,721 : 24,210,912 = 24,210,912 : x
  2. Step 2: Convert to fraction form
    11,219,721/24,210,912 = 24,210,912/x
  3. Step 3: Cross multiply
    11,219,721x = 24,210,912 × 24,210,912
  4. Step 4: Simplify right side
    11,219,721x = 586,168,259,871,744
  5. Step 5: Solve for x
    x = 586,168,259,871,744/11,219,721
  6. Step 6: Final answer
    x = 52,244,459.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.