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Finding the Third Proportional to 11,193,951.94 and 23,516,390.81

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Solution

The third proportional to 11,193,951.94 and 23,516,390.81 is: 49,403,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193,951.94 : 23,516,390.81 = 23,516,390.81 : x
  2. Step 2: Convert to fraction form
    11,193,951.94/23,516,390.81 = 23,516,390.81/x
  3. Step 3: Cross multiply
    11,193,951.94x = 23,516,390.81 × 23,516,390.81
  4. Step 4: Simplify right side
    11,193,951.94x = 553,020,636,846,234.44
  5. Step 5: Solve for x
    x = 553,020,636,846,234.44/11,193,951.94
  6. Step 6: Final answer
    x = 49,403,520.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.