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Finding the Third Proportional to 10,774,393,862 and 25,173,845,661

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Solution

The third proportional to 10,774,393,862 and 25,173,845,661 is: 58,817,462,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,393,862 : 25,173,845,661 = 25,173,845,661 : x
  2. Step 2: Convert to fraction form
    10,774,393,862/25,173,845,661 = 25,173,845,661/x
  3. Step 3: Cross multiply
    10,774,393,862x = 25,173,845,661 × 25,173,845,661
  4. Step 4: Simplify right side
    10,774,393,862x = 633,722,505,363,848,560,640
  5. Step 5: Solve for x
    x = 633,722,505,363,848,560,640/10,774,393,862
  6. Step 6: Final answer
    x = 58,817,462,353.86

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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.