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Finding the Third Proportional to 7,844,804 and 16,928,904

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Solution

The third proportional to 7,844,804 and 16,928,904 is: 36,532,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844,804 : 16,928,904 = 16,928,904 : x
  2. Step 2: Convert to fraction form
    7,844,804/16,928,904 = 16,928,904/x
  3. Step 3: Cross multiply
    7,844,804x = 16,928,904 × 16,928,904
  4. Step 4: Simplify right side
    7,844,804x = 286,587,790,641,216
  5. Step 5: Solve for x
    x = 286,587,790,641,216/7,844,804
  6. Step 6: Final answer
    x = 36,532,179.85

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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.