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Finding the Third Proportional to 9,797,081 and 13,702,852

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Solution

The third proportional to 9,797,081 and 13,702,852 is: 19,165,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,081 : 13,702,852 = 13,702,852 : x
  2. Step 2: Convert to fraction form
    9,797,081/13,702,852 = 13,702,852/x
  3. Step 3: Cross multiply
    9,797,081x = 13,702,852 × 13,702,852
  4. Step 4: Simplify right side
    9,797,081x = 187,768,152,933,904
  5. Step 5: Solve for x
    x = 187,768,152,933,904/9,797,081
  6. Step 6: Final answer
    x = 19,165,724.25

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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.