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Finding the Third Proportional to 18,142,922,995 and 25,226,284,204

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Solution

The third proportional to 18,142,922,995 and 25,226,284,204 is: 35,075,131,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142,922,995 : 25,226,284,204 = 25,226,284,204 : x
  2. Step 2: Convert to fraction form
    18,142,922,995/25,226,284,204 = 25,226,284,204/x
  3. Step 3: Cross multiply
    18,142,922,995x = 25,226,284,204 × 25,226,284,204
  4. Step 4: Simplify right side
    18,142,922,995x = 636,365,414,740,979,875,840
  5. Step 5: Solve for x
    x = 636,365,414,740,979,875,840/18,142,922,995
  6. Step 6: Final answer
    x = 35,075,131,769.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.