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Finding the Third Proportional to 6,964,772 and 9,863,958

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Solution

The third proportional to 6,964,772 and 9,863,958 is: 13,969,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964,772 : 9,863,958 = 9,863,958 : x
  2. Step 2: Convert to fraction form
    6,964,772/9,863,958 = 9,863,958/x
  3. Step 3: Cross multiply
    6,964,772x = 9,863,958 × 9,863,958
  4. Step 4: Simplify right side
    6,964,772x = 97,297,667,425,764
  5. Step 5: Solve for x
    x = 97,297,667,425,764/6,964,772
  6. Step 6: Final answer
    x = 13,969,971.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.