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Finding the Third Proportional to 4,147,047 and 6,491,216.25

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Solution

The third proportional to 4,147,047 and 6,491,216.25 is: 10,160,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,047 : 6,491,216.25 = 6,491,216.25 : x
  2. Step 2: Convert to fraction form
    4,147,047/6,491,216.25 = 6,491,216.25/x
  3. Step 3: Cross multiply
    4,147,047x = 6,491,216.25 × 6,491,216.25
  4. Step 4: Simplify right side
    4,147,047x = 42,135,888,404,264.06
  5. Step 5: Solve for x
    x = 42,135,888,404,264.06/4,147,047
  6. Step 6: Final answer
    x = 10,160,455.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.