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Finding the Third Proportional to 11,412,722 and 23,224,023.50

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Solution

The third proportional to 11,412,722 and 23,224,023.50 is: 47,259,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412,722 : 23,224,023.50 = 23,224,023.50 : x
  2. Step 2: Convert to fraction form
    11,412,722/23,224,023.50 = 23,224,023.50/x
  3. Step 3: Cross multiply
    11,412,722x = 23,224,023.50 × 23,224,023.50
  4. Step 4: Simplify right side
    11,412,722x = 539,355,267,528,552.25
  5. Step 5: Solve for x
    x = 539,355,267,528,552.25/11,412,722
  6. Step 6: Final answer
    x = 47,259,126.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.