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Finding the Third Proportional to 2,364,922.83 and 5,171,505.75

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Solution

The third proportional to 2,364,922.83 and 5,171,505.75 is: 11,308,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,922.83 : 5,171,505.75 = 5,171,505.75 : x
  2. Step 2: Convert to fraction form
    2,364,922.83/5,171,505.75 = 5,171,505.75/x
  3. Step 3: Cross multiply
    2,364,922.83x = 5,171,505.75 × 5,171,505.75
  4. Step 4: Simplify right side
    2,364,922.83x = 26,744,471,722,283.06
  5. Step 5: Solve for x
    x = 26,744,471,722,283.06/2,364,922.83
  6. Step 6: Final answer
    x = 11,308,813.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.