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Finding the Third Proportional to 4,308,471 and 6,379,519.50

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Solution

The third proportional to 4,308,471 and 6,379,519.50 is: 9,446,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308,471 : 6,379,519.50 = 6,379,519.50 : x
  2. Step 2: Convert to fraction form
    4,308,471/6,379,519.50 = 6,379,519.50/x
  3. Step 3: Cross multiply
    4,308,471x = 6,379,519.50 × 6,379,519.50
  4. Step 4: Simplify right side
    4,308,471x = 40,698,269,050,880.25
  5. Step 5: Solve for x
    x = 40,698,269,050,880.25/4,308,471
  6. Step 6: Final answer
    x = 9,446,104.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.