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Finding the Third Proportional to 7,706,596.50 and 16,769,868.75

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Solution

The third proportional to 7,706,596.50 and 16,769,868.75 is: 36,491,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,596.50 : 16,769,868.75 = 16,769,868.75 : x
  2. Step 2: Convert to fraction form
    7,706,596.50/16,769,868.75 = 16,769,868.75/x
  3. Step 3: Cross multiply
    7,706,596.50x = 16,769,868.75 × 16,769,868.75
  4. Step 4: Simplify right side
    7,706,596.50x = 281,228,497,892,226.56
  5. Step 5: Solve for x
    x = 281,228,497,892,226.56/7,706,596.50
  6. Step 6: Final answer
    x = 36,491,919.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.