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Finding the Third Proportional to 8,996,211 and 19,589,742

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Solution

The third proportional to 8,996,211 and 19,589,742 is: 42,657,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996,211 : 19,589,742 = 19,589,742 : x
  2. Step 2: Convert to fraction form
    8,996,211/19,589,742 = 19,589,742/x
  3. Step 3: Cross multiply
    8,996,211x = 19,589,742 × 19,589,742
  4. Step 4: Simplify right side
    8,996,211x = 383,757,991,626,564
  5. Step 5: Solve for x
    x = 383,757,991,626,564/8,996,211
  6. Step 6: Final answer
    x = 42,657,735.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.