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Finding the Third Proportional to 6,863,338 and 14,638,640

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Solution

The third proportional to 6,863,338 and 14,638,640 is: 31,222,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,338 : 14,638,640 = 14,638,640 : x
  2. Step 2: Convert to fraction form
    6,863,338/14,638,640 = 14,638,640/x
  3. Step 3: Cross multiply
    6,863,338x = 14,638,640 × 14,638,640
  4. Step 4: Simplify right side
    6,863,338x = 214,289,781,049,600
  5. Step 5: Solve for x
    x = 214,289,781,049,600/6,863,338
  6. Step 6: Final answer
    x = 31,222,384.95

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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.