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Finding the Third Proportional to 6,746,380 and 14,612,504

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Solution

The third proportional to 6,746,380 and 14,612,504 is: 31,650,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,380 : 14,612,504 = 14,612,504 : x
  2. Step 2: Convert to fraction form
    6,746,380/14,612,504 = 14,612,504/x
  3. Step 3: Cross multiply
    6,746,380x = 14,612,504 × 14,612,504
  4. Step 4: Simplify right side
    6,746,380x = 213,525,273,150,016
  5. Step 5: Solve for x
    x = 213,525,273,150,016/6,746,380
  6. Step 6: Final answer
    x = 31,650,347.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.