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Finding the Third Proportional to 5,755,500 and 12,433,176

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Solution

The third proportional to 5,755,500 and 12,433,176 is: 26,858,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755,500 : 12,433,176 = 12,433,176 : x
  2. Step 2: Convert to fraction form
    5,755,500/12,433,176 = 12,433,176/x
  3. Step 3: Cross multiply
    5,755,500x = 12,433,176 × 12,433,176
  4. Step 4: Simplify right side
    5,755,500x = 154,583,865,446,976
  5. Step 5: Solve for x
    x = 154,583,865,446,976/5,755,500
  6. Step 6: Final answer
    x = 26,858,459.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.