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Finding the Third Proportional to 4,617,224 and 10,023,016

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Solution

The third proportional to 4,617,224 and 10,023,016 is: 21,757,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617,224 : 10,023,016 = 10,023,016 : x
  2. Step 2: Convert to fraction form
    4,617,224/10,023,016 = 10,023,016/x
  3. Step 3: Cross multiply
    4,617,224x = 10,023,016 × 10,023,016
  4. Step 4: Simplify right side
    4,617,224x = 100,460,849,736,256
  5. Step 5: Solve for x
    x = 100,460,849,736,256/4,617,224
  6. Step 6: Final answer
    x = 21,757,846.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.