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Finding the Third Proportional to 36,778,543 and 78,040,165

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Solution

The third proportional to 36,778,543 and 78,040,165 is: 165,592,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778,543 : 78,040,165 = 78,040,165 : x
  2. Step 2: Convert to fraction form
    36,778,543/78,040,165 = 78,040,165/x
  3. Step 3: Cross multiply
    36,778,543x = 78,040,165 × 78,040,165
  4. Step 4: Simplify right side
    36,778,543x = 6,090,267,353,227,225
  5. Step 5: Solve for x
    x = 6,090,267,353,227,225/36,778,543
  6. Step 6: Final answer
    x = 165,592,947.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.