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Finding the Third Proportional to 9,002,290 and 19,712,142

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Solution

The third proportional to 9,002,290 and 19,712,142 is: 43,163,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002,290 : 19,712,142 = 19,712,142 : x
  2. Step 2: Convert to fraction form
    9,002,290/19,712,142 = 19,712,142/x
  3. Step 3: Cross multiply
    9,002,290x = 19,712,142 × 19,712,142
  4. Step 4: Simplify right side
    9,002,290x = 388,568,542,228,164
  5. Step 5: Solve for x
    x = 388,568,542,228,164/9,002,290
  6. Step 6: Final answer
    x = 43,163,299.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.