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Finding the Third Proportional to 6,395,166 and 13,701,996

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Solution

The third proportional to 6,395,166 and 13,701,996 is: 29,357,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395,166 : 13,701,996 = 13,701,996 : x
  2. Step 2: Convert to fraction form
    6,395,166/13,701,996 = 13,701,996/x
  3. Step 3: Cross multiply
    6,395,166x = 13,701,996 × 13,701,996
  4. Step 4: Simplify right side
    6,395,166x = 187,744,694,384,016
  5. Step 5: Solve for x
    x = 187,744,694,384,016/6,395,166
  6. Step 6: Final answer
    x = 29,357,282.42

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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.