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Finding the Third Proportional to 6,667,313.25 and 14,546,046

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Solution

The third proportional to 6,667,313.25 and 14,546,046 is: 31,735,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667,313.25 : 14,546,046 = 14,546,046 : x
  2. Step 2: Convert to fraction form
    6,667,313.25/14,546,046 = 14,546,046/x
  3. Step 3: Cross multiply
    6,667,313.25x = 14,546,046 × 14,546,046
  4. Step 4: Simplify right side
    6,667,313.25x = 211,587,454,234,116
  5. Step 5: Solve for x
    x = 211,587,454,234,116/6,667,313.25
  6. Step 6: Final answer
    x = 31,735,040.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.