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Finding the Third Proportional to 3,783,600,172 and 8,840,197,234

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Solution

The third proportional to 3,783,600,172 and 8,840,197,234 is: 20,654,689,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,600,172 : 8,840,197,234 = 8,840,197,234 : x
  2. Step 2: Convert to fraction form
    3,783,600,172/8,840,197,234 = 8,840,197,234/x
  3. Step 3: Cross multiply
    3,783,600,172x = 8,840,197,234 × 8,840,197,234
  4. Step 4: Simplify right side
    3,783,600,172x = 78,149,087,136,021,250,048
  5. Step 5: Solve for x
    x = 78,149,087,136,021,250,048/3,783,600,172
  6. Step 6: Final answer
    x = 20,654,689,603.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.