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Finding the Third Proportional to 4,040,841 and 6,273,769.50

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Solution

The third proportional to 4,040,841 and 6,273,769.50 is: 9,740,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,040,841 : 6,273,769.50 = 6,273,769.50 : x
  2. Step 2: Convert to fraction form
    4,040,841/6,273,769.50 = 6,273,769.50/x
  3. Step 3: Cross multiply
    4,040,841x = 6,273,769.50 × 6,273,769.50
  4. Step 4: Simplify right side
    4,040,841x = 39,360,183,739,130.25
  5. Step 5: Solve for x
    x = 39,360,183,739,130.25/4,040,841
  6. Step 6: Final answer
    x = 9,740,592.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.