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Finding the Third Proportional to 8,442,804.75 and 19,910,478.75

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Solution

The third proportional to 8,442,804.75 and 19,910,478.75 is: 46,954,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442,804.75 : 19,910,478.75 = 19,910,478.75 : x
  2. Step 2: Convert to fraction form
    8,442,804.75/19,910,478.75 = 19,910,478.75/x
  3. Step 3: Cross multiply
    8,442,804.75x = 19,910,478.75 × 19,910,478.75
  4. Step 4: Simplify right side
    8,442,804.75x = 396,427,164,054,201.56
  5. Step 5: Solve for x
    x = 396,427,164,054,201.56/8,442,804.75
  6. Step 6: Final answer
    x = 46,954,439.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.