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Finding the Third Proportional to 3,263,146 and 6,998,684

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Solution

The third proportional to 3,263,146 and 6,998,684 is: 15,010,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263,146 : 6,998,684 = 6,998,684 : x
  2. Step 2: Convert to fraction form
    3,263,146/6,998,684 = 6,998,684/x
  3. Step 3: Cross multiply
    3,263,146x = 6,998,684 × 6,998,684
  4. Step 4: Simplify right side
    3,263,146x = 48,981,577,731,856
  5. Step 5: Solve for x
    x = 48,981,577,731,856/3,263,146
  6. Step 6: Final answer
    x = 15,010,538.21

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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.