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Finding the Third Proportional to 8,509,771 and 12,734,583

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Solution

The third proportional to 8,509,771 and 12,734,583 is: 19,056,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,771 : 12,734,583 = 12,734,583 : x
  2. Step 2: Convert to fraction form
    8,509,771/12,734,583 = 12,734,583/x
  3. Step 3: Cross multiply
    8,509,771x = 12,734,583 × 12,734,583
  4. Step 4: Simplify right side
    8,509,771x = 162,169,604,183,889
  5. Step 5: Solve for x
    x = 162,169,604,183,889/8,509,771
  6. Step 6: Final answer
    x = 19,056,870.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.