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Finding the Third Proportional to 7,828,120 and 16,193,216

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Solution

The third proportional to 7,828,120 and 16,193,216 is: 33,497,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,120 : 16,193,216 = 16,193,216 : x
  2. Step 2: Convert to fraction form
    7,828,120/16,193,216 = 16,193,216/x
  3. Step 3: Cross multiply
    7,828,120x = 16,193,216 × 16,193,216
  4. Step 4: Simplify right side
    7,828,120x = 262,220,244,422,656
  5. Step 5: Solve for x
    x = 262,220,244,422,656/7,828,120
  6. Step 6: Final answer
    x = 33,497,218.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.