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Finding the Third Proportional to 1,211,482,624 and 2,635,228,544

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Solution

The third proportional to 1,211,482,624 and 2,635,228,544 is: 5,732,174,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,482,624 : 2,635,228,544 = 2,635,228,544 : x
  2. Step 2: Convert to fraction form
    1,211,482,624/2,635,228,544 = 2,635,228,544/x
  3. Step 3: Cross multiply
    1,211,482,624x = 2,635,228,544 × 2,635,228,544
  4. Step 4: Simplify right side
    1,211,482,624x = 6,944,429,479,112,359,936
  5. Step 5: Solve for x
    x = 6,944,429,479,112,359,936/1,211,482,624
  6. Step 6: Final answer
    x = 5,732,174,231.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.