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Finding the Third Proportional to 3,421,200 and 7,407,051

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Solution

The third proportional to 3,421,200 and 7,407,051 is: 16,036,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,200 : 7,407,051 = 7,407,051 : x
  2. Step 2: Convert to fraction form
    3,421,200/7,407,051 = 7,407,051/x
  3. Step 3: Cross multiply
    3,421,200x = 7,407,051 × 7,407,051
  4. Step 4: Simplify right side
    3,421,200x = 54,864,404,516,601
  5. Step 5: Solve for x
    x = 54,864,404,516,601/3,421,200
  6. Step 6: Final answer
    x = 16,036,596.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.