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Finding the Third Proportional to 5,770,830 and 12,342,156

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Solution

The third proportional to 5,770,830 and 12,342,156 is: 26,396,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770,830 : 12,342,156 = 12,342,156 : x
  2. Step 2: Convert to fraction form
    5,770,830/12,342,156 = 12,342,156/x
  3. Step 3: Cross multiply
    5,770,830x = 12,342,156 × 12,342,156
  4. Step 4: Simplify right side
    5,770,830x = 152,328,814,728,336
  5. Step 5: Solve for x
    x = 152,328,814,728,336/5,770,830
  6. Step 6: Final answer
    x = 26,396,344.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.