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Finding the Third Proportional to 8,996,198 and 19,589,716

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Solution

The third proportional to 8,996,198 and 19,589,716 is: 42,657,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996,198 : 19,589,716 = 19,589,716 : x
  2. Step 2: Convert to fraction form
    8,996,198/19,589,716 = 19,589,716/x
  3. Step 3: Cross multiply
    8,996,198x = 19,589,716 × 19,589,716
  4. Step 4: Simplify right side
    8,996,198x = 383,756,972,960,656
  5. Step 5: Solve for x
    x = 383,756,972,960,656/8,996,198
  6. Step 6: Final answer
    x = 42,657,684.16

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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.