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Finding the Third Proportional to 6,396,698.25 and 9,147,353.75

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Solution

The third proportional to 6,396,698.25 and 9,147,353.75 is: 13,080,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,698.25 : 9,147,353.75 = 9,147,353.75 : x
  2. Step 2: Convert to fraction form
    6,396,698.25/9,147,353.75 = 9,147,353.75/x
  3. Step 3: Cross multiply
    6,396,698.25x = 9,147,353.75 × 9,147,353.75
  4. Step 4: Simplify right side
    6,396,698.25x = 83,674,080,627,639.06
  5. Step 5: Solve for x
    x = 83,674,080,627,639.06/6,396,698.25
  6. Step 6: Final answer
    x = 13,080,823.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.