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Finding the Third Proportional to 3,242,997 and 6,886,017

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Solution

The third proportional to 3,242,997 and 6,886,017 is: 14,621,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242,997 : 6,886,017 = 6,886,017 : x
  2. Step 2: Convert to fraction form
    3,242,997/6,886,017 = 6,886,017/x
  3. Step 3: Cross multiply
    3,242,997x = 6,886,017 × 6,886,017
  4. Step 4: Simplify right side
    3,242,997x = 47,417,230,124,289
  5. Step 5: Solve for x
    x = 47,417,230,124,289/3,242,997
  6. Step 6: Final answer
    x = 14,621,422.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.