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Finding the Third Proportional to 9,241,904 and 20,608,824

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Solution

The third proportional to 9,241,904 and 20,608,824 is: 45,956,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241,904 : 20,608,824 = 20,608,824 : x
  2. Step 2: Convert to fraction form
    9,241,904/20,608,824 = 20,608,824/x
  3. Step 3: Cross multiply
    9,241,904x = 20,608,824 × 20,608,824
  4. Step 4: Simplify right side
    9,241,904x = 424,723,626,662,976
  5. Step 5: Solve for x
    x = 424,723,626,662,976/9,241,904
  6. Step 6: Final answer
    x = 45,956,290.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.