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Finding the Third Proportional to 2,863,182.94 and 6,174,690.75

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Solution

The third proportional to 2,863,182.94 and 6,174,690.75 is: 13,316,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,182.94 : 6,174,690.75 = 6,174,690.75 : x
  2. Step 2: Convert to fraction form
    2,863,182.94/6,174,690.75 = 6,174,690.75/x
  3. Step 3: Cross multiply
    2,863,182.94x = 6,174,690.75 × 6,174,690.75
  4. Step 4: Simplify right side
    2,863,182.94x = 38,126,805,858,135.56
  5. Step 5: Solve for x
    x = 38,126,805,858,135.56/2,863,182.94
  6. Step 6: Final answer
    x = 13,316,231.16

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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.