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Finding the Third Proportional to 8,821,947.94 and 19,109,508.61

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Solution

The third proportional to 8,821,947.94 and 19,109,508.61 is: 41,393,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821,947.94 : 19,109,508.61 = 19,109,508.61 : x
  2. Step 2: Convert to fraction form
    8,821,947.94/19,109,508.61 = 19,109,508.61/x
  3. Step 3: Cross multiply
    8,821,947.94x = 19,109,508.61 × 19,109,508.61
  4. Step 4: Simplify right side
    8,821,947.94x = 365,173,319,291,777.25
  5. Step 5: Solve for x
    x = 365,173,319,291,777.25/8,821,947.94
  6. Step 6: Final answer
    x = 41,393,728.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.