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Finding the Third Proportional to 4,451,284.50 and 6,697,806.75

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Solution

The third proportional to 4,451,284.50 and 6,697,806.75 is: 10,078,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451,284.50 : 6,697,806.75 = 6,697,806.75 : x
  2. Step 2: Convert to fraction form
    4,451,284.50/6,697,806.75 = 6,697,806.75/x
  3. Step 3: Cross multiply
    4,451,284.50x = 6,697,806.75 × 6,697,806.75
  4. Step 4: Simplify right side
    4,451,284.50x = 44,860,615,260,345.56
  5. Step 5: Solve for x
    x = 44,860,615,260,345.56/4,451,284.50
  6. Step 6: Final answer
    x = 10,078,128.07

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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.