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Finding the Third Proportional to 6,863,472 and 14,638,920

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Solution

The third proportional to 6,863,472 and 14,638,920 is: 31,222,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,472 : 14,638,920 = 14,638,920 : x
  2. Step 2: Convert to fraction form
    6,863,472/14,638,920 = 14,638,920/x
  3. Step 3: Cross multiply
    6,863,472x = 14,638,920 × 14,638,920
  4. Step 4: Simplify right side
    6,863,472x = 214,297,978,766,400
  5. Step 5: Solve for x
    x = 214,297,978,766,400/6,863,472
  6. Step 6: Final answer
    x = 31,222,969.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.