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Finding the Third Proportional to 5,755,482 and 12,433,149

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Solution

The third proportional to 5,755,482 and 12,433,149 is: 26,858,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755,482 : 12,433,149 = 12,433,149 : x
  2. Step 2: Convert to fraction form
    5,755,482/12,433,149 = 12,433,149/x
  3. Step 3: Cross multiply
    5,755,482x = 12,433,149 × 12,433,149
  4. Step 4: Simplify right side
    5,755,482x = 154,583,194,056,201
  5. Step 5: Solve for x
    x = 154,583,194,056,201/5,755,482
  6. Step 6: Final answer
    x = 26,858,427.16

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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.