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Finding the Third Proportional to 6,605,730 and 9,302,067

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Solution

The third proportional to 6,605,730 and 9,302,067 is: 13,098,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605,730 : 9,302,067 = 9,302,067 : x
  2. Step 2: Convert to fraction form
    6,605,730/9,302,067 = 9,302,067/x
  3. Step 3: Cross multiply
    6,605,730x = 9,302,067 × 9,302,067
  4. Step 4: Simplify right side
    6,605,730x = 86,528,450,472,489
  5. Step 5: Solve for x
    x = 86,528,450,472,489/6,605,730
  6. Step 6: Final answer
    x = 13,098,998.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.