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Finding the Third Proportional to 8,629,557 and 14,380,886.25

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Solution

The third proportional to 8,629,557 and 14,380,886.25 is: 23,965,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629,557 : 14,380,886.25 = 14,380,886.25 : x
  2. Step 2: Convert to fraction form
    8,629,557/14,380,886.25 = 14,380,886.25/x
  3. Step 3: Cross multiply
    8,629,557x = 14,380,886.25 × 14,380,886.25
  4. Step 4: Simplify right side
    8,629,557x = 206,809,889,335,439.06
  5. Step 5: Solve for x
    x = 206,809,889,335,439.06/8,629,557
  6. Step 6: Final answer
    x = 23,965,296.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.