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Finding the Third Proportional to 3,196,527 and 5,683,048.50

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Solution

The third proportional to 3,196,527 and 5,683,048.50 is: 10,103,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196,527 : 5,683,048.50 = 5,683,048.50 : x
  2. Step 2: Convert to fraction form
    3,196,527/5,683,048.50 = 5,683,048.50/x
  3. Step 3: Cross multiply
    3,196,527x = 5,683,048.50 × 5,683,048.50
  4. Step 4: Simplify right side
    3,196,527x = 32,297,040,253,352.25
  5. Step 5: Solve for x
    x = 32,297,040,253,352.25/3,196,527
  6. Step 6: Final answer
    x = 10,103,790.85

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.