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Finding the Third Proportional to 1,771,419,144 and 3,805,722,588

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Solution

The third proportional to 1,771,419,144 and 3,805,722,588 is: 8,176,226,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,419,144 : 3,805,722,588 = 3,805,722,588 : x
  2. Step 2: Convert to fraction form
    1,771,419,144/3,805,722,588 = 3,805,722,588/x
  3. Step 3: Cross multiply
    1,771,419,144x = 3,805,722,588 × 3,805,722,588
  4. Step 4: Simplify right side
    1,771,419,144x = 14,483,524,416,813,418,496
  5. Step 5: Solve for x
    x = 14,483,524,416,813,418,496/1,771,419,144
  6. Step 6: Final answer
    x = 8,176,226,651.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.