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Finding the Third Proportional to 9,263,970 and 20,412,648

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Solution

The third proportional to 9,263,970 and 20,412,648 is: 44,978,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263,970 : 20,412,648 = 20,412,648 : x
  2. Step 2: Convert to fraction form
    9,263,970/20,412,648 = 20,412,648/x
  3. Step 3: Cross multiply
    9,263,970x = 20,412,648 × 20,412,648
  4. Step 4: Simplify right side
    9,263,970x = 416,676,198,371,904
  5. Step 5: Solve for x
    x = 416,676,198,371,904/9,263,970
  6. Step 6: Final answer
    x = 44,978,146.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.