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Finding the Third Proportional to 7,784,958 and 12,396,935

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Solution

The third proportional to 7,784,958 and 12,396,935 is: 19,741,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784,958 : 12,396,935 = 12,396,935 : x
  2. Step 2: Convert to fraction form
    7,784,958/12,396,935 = 12,396,935/x
  3. Step 3: Cross multiply
    7,784,958x = 12,396,935 × 12,396,935
  4. Step 4: Simplify right side
    7,784,958x = 153,683,997,394,225
  5. Step 5: Solve for x
    x = 153,683,997,394,225/7,784,958
  6. Step 6: Final answer
    x = 19,741,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.