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Finding the Third Proportional to 3,096,384.75 and 6,475,097.25

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Solution

The third proportional to 3,096,384.75 and 6,475,097.25 is: 13,540,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,384.75 : 6,475,097.25 = 6,475,097.25 : x
  2. Step 2: Convert to fraction form
    3,096,384.75/6,475,097.25 = 6,475,097.25/x
  3. Step 3: Cross multiply
    3,096,384.75x = 6,475,097.25 × 6,475,097.25
  4. Step 4: Simplify right side
    3,096,384.75x = 41,926,884,396,957.56
  5. Step 5: Solve for x
    x = 41,926,884,396,957.56/3,096,384.75
  6. Step 6: Final answer
    x = 13,540,592.59

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.