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Finding the Third Proportional to 3,208,216 and 7,133,736

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Solution

The third proportional to 3,208,216 and 7,133,736 is: 15,862,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208,216 : 7,133,736 = 7,133,736 : x
  2. Step 2: Convert to fraction form
    3,208,216/7,133,736 = 7,133,736/x
  3. Step 3: Cross multiply
    3,208,216x = 7,133,736 × 7,133,736
  4. Step 4: Simplify right side
    3,208,216x = 50,890,189,317,696
  5. Step 5: Solve for x
    x = 50,890,189,317,696/3,208,216
  6. Step 6: Final answer
    x = 15,862,457.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.