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Finding the Third Proportional to 7,198,711 and 10,185,955

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Solution

The third proportional to 7,198,711 and 10,185,955 is: 14,412,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,711 : 10,185,955 = 10,185,955 : x
  2. Step 2: Convert to fraction form
    7,198,711/10,185,955 = 10,185,955/x
  3. Step 3: Cross multiply
    7,198,711x = 10,185,955 × 10,185,955
  4. Step 4: Simplify right side
    7,198,711x = 103,753,679,262,025
  5. Step 5: Solve for x
    x = 103,753,679,262,025/7,198,711
  6. Step 6: Final answer
    x = 14,412,813.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.