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Finding the Third Proportional to 1,405,044,252,540 and 1,895,734,568,178

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Solution

The third proportional to 1,405,044,252,540 and 1,895,734,568,178 is: 2,557,791,006,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,044,252,540 : 1,895,734,568,178 = 1,895,734,568,178 : x
  2. Step 2: Convert to fraction form
    1,405,044,252,540/1,895,734,568,178 = 1,895,734,568,178/x
  3. Step 3: Cross multiply
    1,405,044,252,540x = 1,895,734,568,178 × 1,895,734,568,178
  4. Step 4: Simplify right side
    1,405,044,252,540x = 3,593,809,552,985,028,290,412,544
  5. Step 5: Solve for x
    x = 3,593,809,552,985,028,290,412,544/1,405,044,252,540
  6. Step 6: Final answer
    x = 2,557,791,006,573.81

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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.