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Finding the Third Proportional to 3,238,692.75 and 6,975,609.75

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Solution

The third proportional to 3,238,692.75 and 6,975,609.75 is: 15,024,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,692.75 : 6,975,609.75 = 6,975,609.75 : x
  2. Step 2: Convert to fraction form
    3,238,692.75/6,975,609.75 = 6,975,609.75/x
  3. Step 3: Cross multiply
    3,238,692.75x = 6,975,609.75 × 6,975,609.75
  4. Step 4: Simplify right side
    3,238,692.75x = 48,659,131,384,295.06
  5. Step 5: Solve for x
    x = 48,659,131,384,295.06/3,238,692.75
  6. Step 6: Final answer
    x = 15,024,312.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.