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Finding the Third Proportional to 3,206,495.25 and 7,054,281.75

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Solution

The third proportional to 3,206,495.25 and 7,054,281.75 is: 15,519,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,495.25 : 7,054,281.75 = 7,054,281.75 : x
  2. Step 2: Convert to fraction form
    3,206,495.25/7,054,281.75 = 7,054,281.75/x
  3. Step 3: Cross multiply
    3,206,495.25x = 7,054,281.75 × 7,054,281.75
  4. Step 4: Simplify right side
    3,206,495.25x = 49,762,891,008,383.06
  5. Step 5: Solve for x
    x = 49,762,891,008,383.06/3,206,495.25
  6. Step 6: Final answer
    x = 15,519,402.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.