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Finding the Third Proportional to 3,828,429 and 8,352,324

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Solution

The third proportional to 3,828,429 and 8,352,324 is: 18,221,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,429 : 8,352,324 = 8,352,324 : x
  2. Step 2: Convert to fraction form
    3,828,429/8,352,324 = 8,352,324/x
  3. Step 3: Cross multiply
    3,828,429x = 8,352,324 × 8,352,324
  4. Step 4: Simplify right side
    3,828,429x = 69,761,316,200,976
  5. Step 5: Solve for x
    x = 69,761,316,200,976/3,828,429
  6. Step 6: Final answer
    x = 18,221,917.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.