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Finding the Third Proportional to 5,825,169 and 12,770,082

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Solution

The third proportional to 5,825,169 and 12,770,082 is: 27,994,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,169 : 12,770,082 = 12,770,082 : x
  2. Step 2: Convert to fraction form
    5,825,169/12,770,082 = 12,770,082/x
  3. Step 3: Cross multiply
    5,825,169x = 12,770,082 × 12,770,082
  4. Step 4: Simplify right side
    5,825,169x = 163,074,994,286,724
  5. Step 5: Solve for x
    x = 163,074,994,286,724/5,825,169
  6. Step 6: Final answer
    x = 27,994,894.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.