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Finding the Third Proportional to 9,433,977 and 20,213,370

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Solution

The third proportional to 9,433,977 and 20,213,370 is: 43,309,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433,977 : 20,213,370 = 20,213,370 : x
  2. Step 2: Convert to fraction form
    9,433,977/20,213,370 = 20,213,370/x
  3. Step 3: Cross multiply
    9,433,977x = 20,213,370 × 20,213,370
  4. Step 4: Simplify right side
    9,433,977x = 408,580,326,756,900
  5. Step 5: Solve for x
    x = 408,580,326,756,900/9,433,977
  6. Step 6: Final answer
    x = 43,309,446.99

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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.