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Finding the Third Proportional to 10,614,104 and 23,213,968

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Solution

The third proportional to 10,614,104 and 23,213,968 is: 50,770,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,104 : 23,213,968 = 23,213,968 : x
  2. Step 2: Convert to fraction form
    10,614,104/23,213,968 = 23,213,968/x
  3. Step 3: Cross multiply
    10,614,104x = 23,213,968 × 23,213,968
  4. Step 4: Simplify right side
    10,614,104x = 538,888,310,305,024
  5. Step 5: Solve for x
    x = 538,888,310,305,024/10,614,104
  6. Step 6: Final answer
    x = 50,770,965.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.