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Finding the Third Proportional to 5,059,689.05 and 8,004,873.09

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Solution

The third proportional to 5,059,689.05 and 8,004,873.09 is: 12,664,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,689.05 : 8,004,873.09 = 8,004,873.09 : x
  2. Step 2: Convert to fraction form
    5,059,689.05/8,004,873.09 = 8,004,873.09/x
  3. Step 3: Cross multiply
    5,059,689.05x = 8,004,873.09 × 8,004,873.09
  4. Step 4: Simplify right side
    5,059,689.05x = 64,077,993,247,042.70
  5. Step 5: Solve for x
    x = 64,077,993,247,042.70/5,059,689.05
  6. Step 6: Final answer
    x = 12,664,413.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.