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Finding the Third Proportional to 3,427,698 and 6,975,105

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Solution

The third proportional to 3,427,698 and 6,975,105 is: 14,193,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,698 : 6,975,105 = 6,975,105 : x
  2. Step 2: Convert to fraction form
    3,427,698/6,975,105 = 6,975,105/x
  3. Step 3: Cross multiply
    3,427,698x = 6,975,105 × 6,975,105
  4. Step 4: Simplify right side
    3,427,698x = 48,652,089,761,025
  5. Step 5: Solve for x
    x = 48,652,089,761,025/3,427,698
  6. Step 6: Final answer
    x = 14,193,808.72

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.