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Finding the Third Proportional to 5,868,138 and 12,603,966

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Solution

The third proportional to 5,868,138 and 12,603,966 is: 27,071,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868,138 : 12,603,966 = 12,603,966 : x
  2. Step 2: Convert to fraction form
    5,868,138/12,603,966 = 12,603,966/x
  3. Step 3: Cross multiply
    5,868,138x = 12,603,966 × 12,603,966
  4. Step 4: Simplify right side
    5,868,138x = 158,859,958,929,156
  5. Step 5: Solve for x
    x = 158,859,958,929,156/5,868,138
  6. Step 6: Final answer
    x = 27,071,612.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.