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Finding the Third Proportional to 1,405,043,899,854 and 1,895,734,125,918

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Solution

The third proportional to 1,405,043,899,854 and 1,895,734,125,918 is: 2,557,790,455,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,043,899,854 : 1,895,734,125,918 = 1,895,734,125,918 : x
  2. Step 2: Convert to fraction form
    1,405,043,899,854/1,895,734,125,918 = 1,895,734,125,918/x
  3. Step 3: Cross multiply
    1,405,043,899,854x = 1,895,734,125,918 × 1,895,734,125,918
  4. Step 4: Simplify right side
    1,405,043,899,854x = 3,593,807,876,170,083,538,567,168
  5. Step 5: Solve for x
    x = 3,593,807,876,170,083,538,567,168/1,405,043,899,854
  6. Step 6: Final answer
    x = 2,557,790,455,190.42

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Why These Related Problems?

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