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Finding the Third Proportional to 4,226,620.50 and 9,050,919.75

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Solution

The third proportional to 4,226,620.50 and 9,050,919.75 is: 19,381,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226,620.50 : 9,050,919.75 = 9,050,919.75 : x
  2. Step 2: Convert to fraction form
    4,226,620.50/9,050,919.75 = 9,050,919.75/x
  3. Step 3: Cross multiply
    4,226,620.50x = 9,050,919.75 × 9,050,919.75
  4. Step 4: Simplify right side
    4,226,620.50x = 81,919,148,320,940.06
  5. Step 5: Solve for x
    x = 81,919,148,320,940.06/4,226,620.50
  6. Step 6: Final answer
    x = 19,381,713.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.