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Finding the Third Proportional to 5,826,201.75 and 8,820,267.19

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Solution

The third proportional to 5,826,201.75 and 8,820,267.19 is: 13,352,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826,201.75 : 8,820,267.19 = 8,820,267.19 : x
  2. Step 2: Convert to fraction form
    5,826,201.75/8,820,267.19 = 8,820,267.19/x
  3. Step 3: Cross multiply
    5,826,201.75x = 8,820,267.19 × 8,820,267.19
  4. Step 4: Simplify right side
    5,826,201.75x = 77,797,113,258,889.16
  5. Step 5: Solve for x
    x = 77,797,113,258,889.16/5,826,201.75
  6. Step 6: Final answer
    x = 13,352,972.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.