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Finding the Third Proportional to 12,538,640 and 19,132,256

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Solution

The third proportional to 12,538,640 and 19,132,256 is: 29,193,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538,640 : 19,132,256 = 19,132,256 : x
  2. Step 2: Convert to fraction form
    12,538,640/19,132,256 = 19,132,256/x
  3. Step 3: Cross multiply
    12,538,640x = 19,132,256 × 19,132,256
  4. Step 4: Simplify right side
    12,538,640x = 366,043,219,649,536
  5. Step 5: Solve for x
    x = 366,043,219,649,536/12,538,640
  6. Step 6: Final answer
    x = 29,193,215.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.