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Finding the Third Proportional to 1,248,927,910,987 and 1,685,097,000,825

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Solution

The third proportional to 1,248,927,910,987 and 1,685,097,000,825 is: 2,273,591,515,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,927,910,987 : 1,685,097,000,825 = 1,685,097,000,825 : x
  2. Step 2: Convert to fraction form
    1,248,927,910,987/1,685,097,000,825 = 1,685,097,000,825/x
  3. Step 3: Cross multiply
    1,248,927,910,987x = 1,685,097,000,825 × 1,685,097,000,825
  4. Step 4: Simplify right side
    1,248,927,910,987x = 2,839,551,902,189,410,272,149,504
  5. Step 5: Solve for x
    x = 2,839,551,902,189,410,272,149,504/1,248,927,910,987
  6. Step 6: Final answer
    x = 2,273,591,515,738.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.