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Finding the Third Proportional to 4,409,142 and 9,448,134

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Solution

The third proportional to 4,409,142 and 9,448,134 is: 20,245,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409,142 : 9,448,134 = 9,448,134 : x
  2. Step 2: Convert to fraction form
    4,409,142/9,448,134 = 9,448,134/x
  3. Step 3: Cross multiply
    4,409,142x = 9,448,134 × 9,448,134
  4. Step 4: Simplify right side
    4,409,142x = 89,267,236,081,956
  5. Step 5: Solve for x
    x = 89,267,236,081,956/4,409,142
  6. Step 6: Final answer
    x = 20,245,942.65

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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.