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Finding the Third Proportional to 10,142,224 and 22,275,104

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Solution

The third proportional to 10,142,224 and 22,275,104 is: 48,922,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142,224 : 22,275,104 = 22,275,104 : x
  2. Step 2: Convert to fraction form
    10,142,224/22,275,104 = 22,275,104/x
  3. Step 3: Cross multiply
    10,142,224x = 22,275,104 × 22,275,104
  4. Step 4: Simplify right side
    10,142,224x = 496,180,258,210,816
  5. Step 5: Solve for x
    x = 496,180,258,210,816/10,142,224
  6. Step 6: Final answer
    x = 48,922,234.24

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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.