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Finding the Third Proportional to 3,838,718 and 8,208,796

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Solution

The third proportional to 3,838,718 and 8,208,796 is: 17,553,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,718 : 8,208,796 = 8,208,796 : x
  2. Step 2: Convert to fraction form
    3,838,718/8,208,796 = 8,208,796/x
  3. Step 3: Cross multiply
    3,838,718x = 8,208,796 × 8,208,796
  4. Step 4: Simplify right side
    3,838,718x = 67,384,331,769,616
  5. Step 5: Solve for x
    x = 67,384,331,769,616/3,838,718
  6. Step 6: Final answer
    x = 17,553,863.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.