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Finding the Third Proportional to 2,827,640 and 5,821,168

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Solution

The third proportional to 2,827,640 and 5,821,168 is: 11,983,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827,640 : 5,821,168 = 5,821,168 : x
  2. Step 2: Convert to fraction form
    2,827,640/5,821,168 = 5,821,168/x
  3. Step 3: Cross multiply
    2,827,640x = 5,821,168 × 5,821,168
  4. Step 4: Simplify right side
    2,827,640x = 33,885,996,884,224
  5. Step 5: Solve for x
    x = 33,885,996,884,224/2,827,640
  6. Step 6: Final answer
    x = 11,983,844.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.