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Finding the Third Proportional to 3,155,171.44 and 6,814,796.65

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Solution

The third proportional to 3,155,171.44 and 6,814,796.65 is: 14,719,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155,171.44 : 6,814,796.65 = 6,814,796.65 : x
  2. Step 2: Convert to fraction form
    3,155,171.44/6,814,796.65 = 6,814,796.65/x
  3. Step 3: Cross multiply
    3,155,171.44x = 6,814,796.65 × 6,814,796.65
  4. Step 4: Simplify right side
    3,155,171.44x = 46,441,453,399,491.05
  5. Step 5: Solve for x
    x = 46,441,453,399,491.05/3,155,171.44
  6. Step 6: Final answer
    x = 14,719,153.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.