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Finding the Third Proportional to 5,195,204,824 and 11,342,692,304

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Solution

The third proportional to 5,195,204,824 and 11,342,692,304 is: 24,764,503,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195,204,824 : 11,342,692,304 = 11,342,692,304 : x
  2. Step 2: Convert to fraction form
    5,195,204,824/11,342,692,304 = 11,342,692,304/x
  3. Step 3: Cross multiply
    5,195,204,824x = 11,342,692,304 × 11,342,692,304
  4. Step 4: Simplify right side
    5,195,204,824x = 128,656,668,703,220,826,112
  5. Step 5: Solve for x
    x = 128,656,668,703,220,826,112/5,195,204,824
  6. Step 6: Final answer
    x = 24,764,503,626.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.