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Finding the Third Proportional to 4,416,969 and 9,019,698

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Solution

The third proportional to 4,416,969 and 9,019,698 is: 18,418,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416,969 : 9,019,698 = 9,019,698 : x
  2. Step 2: Convert to fraction form
    4,416,969/9,019,698 = 9,019,698/x
  3. Step 3: Cross multiply
    4,416,969x = 9,019,698 × 9,019,698
  4. Step 4: Simplify right side
    4,416,969x = 81,354,952,011,204
  5. Step 5: Solve for x
    x = 81,354,952,011,204/4,416,969
  6. Step 6: Final answer
    x = 18,418,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.