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Finding the Third Proportional to 5,860,180 and 12,169,496

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Solution

The third proportional to 5,860,180 and 12,169,496 is: 25,271,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860,180 : 12,169,496 = 12,169,496 : x
  2. Step 2: Convert to fraction form
    5,860,180/12,169,496 = 12,169,496/x
  3. Step 3: Cross multiply
    5,860,180x = 12,169,496 × 12,169,496
  4. Step 4: Simplify right side
    5,860,180x = 148,096,632,894,016
  5. Step 5: Solve for x
    x = 148,096,632,894,016/5,860,180
  6. Step 6: Final answer
    x = 25,271,686.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.