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Finding the Third Proportional to 11,412,726 and 23,224,032

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Solution

The third proportional to 11,412,726 and 23,224,032 is: 47,259,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412,726 : 23,224,032 = 23,224,032 : x
  2. Step 2: Convert to fraction form
    11,412,726/23,224,032 = 23,224,032/x
  3. Step 3: Cross multiply
    11,412,726x = 23,224,032 × 23,224,032
  4. Step 4: Simplify right side
    11,412,726x = 539,355,662,337,024
  5. Step 5: Solve for x
    x = 539,355,662,337,024/11,412,726
  6. Step 6: Final answer
    x = 47,259,144.08

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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.