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Finding the Third Proportional to 2,816,202 and 5,781,697.50

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Solution

The third proportional to 2,816,202 and 5,781,697.50 is: 11,869,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816,202 : 5,781,697.50 = 5,781,697.50 : x
  2. Step 2: Convert to fraction form
    2,816,202/5,781,697.50 = 5,781,697.50/x
  3. Step 3: Cross multiply
    2,816,202x = 5,781,697.50 × 5,781,697.50
  4. Step 4: Simplify right side
    2,816,202x = 33,428,025,981,506.25
  5. Step 5: Solve for x
    x = 33,428,025,981,506.25/2,816,202
  6. Step 6: Final answer
    x = 11,869,896.40

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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.