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Finding the Third Proportional to 2,816,226 and 5,781,739.50

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Solution

The third proportional to 2,816,226 and 5,781,739.50 is: 11,869,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816,226 : 5,781,739.50 = 5,781,739.50 : x
  2. Step 2: Convert to fraction form
    2,816,226/5,781,739.50 = 5,781,739.50/x
  3. Step 3: Cross multiply
    2,816,226x = 5,781,739.50 × 5,781,739.50
  4. Step 4: Simplify right side
    2,816,226x = 33,428,511,645,860.25
  5. Step 5: Solve for x
    x = 33,428,511,645,860.25/2,816,226
  6. Step 6: Final answer
    x = 11,869,967.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.