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Finding the Third Proportional to 18,159,815,054 and 25,561,877,691

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Solution

The third proportional to 18,159,815,054 and 25,561,877,691 is: 35,981,070,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,159,815,054 : 25,561,877,691 = 25,561,877,691 : x
  2. Step 2: Convert to fraction form
    18,159,815,054/25,561,877,691 = 25,561,877,691/x
  3. Step 3: Cross multiply
    18,159,815,054x = 25,561,877,691 × 25,561,877,691
  4. Step 4: Simplify right side
    18,159,815,054x = 653,409,591,089,643,520,000
  5. Step 5: Solve for x
    x = 653,409,591,089,643,520,000/18,159,815,054
  6. Step 6: Final answer
    x = 35,981,070,795.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.