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Finding the Third Proportional to 8,106,032 and 12,649,800

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Solution

The third proportional to 8,106,032 and 12,649,800 is: 19,740,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106,032 : 12,649,800 = 12,649,800 : x
  2. Step 2: Convert to fraction form
    8,106,032/12,649,800 = 12,649,800/x
  3. Step 3: Cross multiply
    8,106,032x = 12,649,800 × 12,649,800
  4. Step 4: Simplify right side
    8,106,032x = 160,017,440,040,000
  5. Step 5: Solve for x
    x = 160,017,440,040,000/8,106,032
  6. Step 6: Final answer
    x = 19,740,538.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.