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Finding the Third Proportional to 9,242,022 and 20,609,085

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Solution

The third proportional to 9,242,022 and 20,609,085 is: 45,956,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242,022 : 20,609,085 = 20,609,085 : x
  2. Step 2: Convert to fraction form
    9,242,022/20,609,085 = 20,609,085/x
  3. Step 3: Cross multiply
    9,242,022x = 20,609,085 × 20,609,085
  4. Step 4: Simplify right side
    9,242,022x = 424,734,384,537,225
  5. Step 5: Solve for x
    x = 424,734,384,537,225/9,242,022
  6. Step 6: Final answer
    x = 45,956,867.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.