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Finding the Third Proportional to 11,412,824 and 23,224,216

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Solution

The third proportional to 11,412,824 and 23,224,216 is: 47,259,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412,824 : 23,224,216 = 23,224,216 : x
  2. Step 2: Convert to fraction form
    11,412,824/23,224,216 = 23,224,216/x
  3. Step 3: Cross multiply
    11,412,824x = 23,224,216 × 23,224,216
  4. Step 4: Simplify right side
    11,412,824x = 539,364,208,814,656
  5. Step 5: Solve for x
    x = 539,364,208,814,656/11,412,824
  6. Step 6: Final answer
    x = 47,259,487.12

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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.