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Finding the Third Proportional to 13,620,768 and 20,313,024

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Solution

The third proportional to 13,620,768 and 20,313,024 is: 30,293,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620,768 : 20,313,024 = 20,313,024 : x
  2. Step 2: Convert to fraction form
    13,620,768/20,313,024 = 20,313,024/x
  3. Step 3: Cross multiply
    13,620,768x = 20,313,024 × 20,313,024
  4. Step 4: Simplify right side
    13,620,768x = 412,618,944,024,576
  5. Step 5: Solve for x
    x = 412,618,944,024,576/13,620,768
  6. Step 6: Final answer
    x = 30,293,368.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.