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Finding the Third Proportional to 13,027,768 and 17,368,379

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Solution

The third proportional to 13,027,768 and 17,368,379 is: 23,155,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027,768 : 17,368,379 = 17,368,379 : x
  2. Step 2: Convert to fraction form
    13,027,768/17,368,379 = 17,368,379/x
  3. Step 3: Cross multiply
    13,027,768x = 17,368,379 × 17,368,379
  4. Step 4: Simplify right side
    13,027,768x = 301,660,589,087,641
  5. Step 5: Solve for x
    x = 301,660,589,087,641/13,027,768
  6. Step 6: Final answer
    x = 23,155,201.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.