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Finding the Third Proportional to 4,195,783.69 and 6,479,023.84

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Solution

The third proportional to 4,195,783.69 and 6,479,023.84 is: 10,004,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,783.69 : 6,479,023.84 = 6,479,023.84 : x
  2. Step 2: Convert to fraction form
    4,195,783.69/6,479,023.84 = 6,479,023.84/x
  3. Step 3: Cross multiply
    4,195,783.69x = 6,479,023.84 × 6,479,023.84
  4. Step 4: Simplify right side
    4,195,783.69x = 41,977,749,967,881.02
  5. Step 5: Solve for x
    x = 41,977,749,967,881.02/4,195,783.69
  6. Step 6: Final answer
    x = 10,004,745.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.