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Finding the Third Proportional to 9,797,086 and 13,702,858

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Solution

The third proportional to 9,797,086 and 13,702,858 is: 19,165,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,086 : 13,702,858 = 13,702,858 : x
  2. Step 2: Convert to fraction form
    9,797,086/13,702,858 = 13,702,858/x
  3. Step 3: Cross multiply
    9,797,086x = 13,702,858 × 13,702,858
  4. Step 4: Simplify right side
    9,797,086x = 187,768,317,368,164
  5. Step 5: Solve for x
    x = 187,768,317,368,164/9,797,086
  6. Step 6: Final answer
    x = 19,165,731.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.