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Finding the Third Proportional to 5,378,890 and 11,653,796

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Solution

The third proportional to 5,378,890 and 11,653,796 is: 25,248,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378,890 : 11,653,796 = 11,653,796 : x
  2. Step 2: Convert to fraction form
    5,378,890/11,653,796 = 11,653,796/x
  3. Step 3: Cross multiply
    5,378,890x = 11,653,796 × 11,653,796
  4. Step 4: Simplify right side
    5,378,890x = 135,810,961,209,616
  5. Step 5: Solve for x
    x = 135,810,961,209,616/5,378,890
  6. Step 6: Final answer
    x = 25,248,882.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.