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Finding the Third Proportional to 3,803,848 and 8,206,904

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Solution

The third proportional to 3,803,848 and 8,206,904 is: 17,706,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803,848 : 8,206,904 = 8,206,904 : x
  2. Step 2: Convert to fraction form
    3,803,848/8,206,904 = 8,206,904/x
  3. Step 3: Cross multiply
    3,803,848x = 8,206,904 × 8,206,904
  4. Step 4: Simplify right side
    3,803,848x = 67,353,273,265,216
  5. Step 5: Solve for x
    x = 67,353,273,265,216/3,803,848
  6. Step 6: Final answer
    x = 17,706,615.32

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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.