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Finding the Third Proportional to 10,774,393,845 and 25,173,845,629

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Solution

The third proportional to 10,774,393,845 and 25,173,845,629 is: 58,817,462,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,393,845 : 25,173,845,629 = 25,173,845,629 : x
  2. Step 2: Convert to fraction form
    10,774,393,845/25,173,845,629 = 25,173,845,629/x
  3. Step 3: Cross multiply
    10,774,393,845x = 25,173,845,629 × 25,173,845,629
  4. Step 4: Simplify right side
    10,774,393,845x = 633,722,503,752,722,415,616
  5. Step 5: Solve for x
    x = 633,722,503,752,722,415,616/10,774,393,845
  6. Step 6: Final answer
    x = 58,817,462,297.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.