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Finding the Third Proportional to 5,543,939,641.50 and 8,455,545,632.25

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Solution

The third proportional to 5,543,939,641.50 and 8,455,545,632.25 is: 12,896,289,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543,939,641.50 : 8,455,545,632.25 = 8,455,545,632.25 : x
  2. Step 2: Convert to fraction form
    5,543,939,641.50/8,455,545,632.25 = 8,455,545,632.25/x
  3. Step 3: Cross multiply
    5,543,939,641.50x = 8,455,545,632.25 × 8,455,545,632.25
  4. Step 4: Simplify right side
    5,543,939,641.50x = 71,496,251,939,062,054,912
  5. Step 5: Solve for x
    x = 71,496,251,939,062,054,912/5,543,939,641.50
  6. Step 6: Final answer
    x = 12,896,289,743.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.