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Finding the Third Proportional to 3,129,009 and 6,497,823

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Solution

The third proportional to 3,129,009 and 6,497,823 is: 13,493,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129,009 : 6,497,823 = 6,497,823 : x
  2. Step 2: Convert to fraction form
    3,129,009/6,497,823 = 6,497,823/x
  3. Step 3: Cross multiply
    3,129,009x = 6,497,823 × 6,497,823
  4. Step 4: Simplify right side
    3,129,009x = 42,221,703,739,329
  5. Step 5: Solve for x
    x = 42,221,703,739,329/3,129,009
  6. Step 6: Final answer
    x = 13,493,634.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.