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Finding the Third Proportional to 12,744,096,264 and 19,947,584,448

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Solution

The third proportional to 12,744,096,264 and 19,947,584,448 is: 31,222,780,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744,096,264 : 19,947,584,448 = 19,947,584,448 : x
  2. Step 2: Convert to fraction form
    12,744,096,264/19,947,584,448 = 19,947,584,448/x
  3. Step 3: Cross multiply
    12,744,096,264x = 19,947,584,448 × 19,947,584,448
  4. Step 4: Simplify right side
    12,744,096,264x = 397,906,125,310,091,460,608
  5. Step 5: Solve for x
    x = 397,906,125,310,091,460,608/12,744,096,264
  6. Step 6: Final answer
    x = 31,222,780,891.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.