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Finding the Third Proportional to 4,184,000 and 8,870,400

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Solution

The third proportional to 4,184,000 and 8,870,400 is: 18,805,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184,000 : 8,870,400 = 8,870,400 : x
  2. Step 2: Convert to fraction form
    4,184,000/8,870,400 = 8,870,400/x
  3. Step 3: Cross multiply
    4,184,000x = 8,870,400 × 8,870,400
  4. Step 4: Simplify right side
    4,184,000x = 78,683,996,160,000
  5. Step 5: Solve for x
    x = 78,683,996,160,000/4,184,000
  6. Step 6: Final answer
    x = 18,805,926.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.