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Finding the Third Proportional to 1,405,043,899,855 and 1,895,734,125,919.50

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Solution

The third proportional to 1,405,043,899,855 and 1,895,734,125,919.50 is: 2,557,790,455,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,043,899,855 : 1,895,734,125,919.50 = 1,895,734,125,919.50 : x
  2. Step 2: Convert to fraction form
    1,405,043,899,855/1,895,734,125,919.50 = 1,895,734,125,919.50/x
  3. Step 3: Cross multiply
    1,405,043,899,855x = 1,895,734,125,919.50 × 1,895,734,125,919.50
  4. Step 4: Simplify right side
    1,405,043,899,855x = 3,593,807,876,175,770,612,137,984
  5. Step 5: Solve for x
    x = 3,593,807,876,175,770,612,137,984/1,405,043,899,855
  6. Step 6: Final answer
    x = 2,557,790,455,192.65

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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.