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Finding the Third Proportional to 1,211,482,647 and 2,635,228,584

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Solution

The third proportional to 1,211,482,647 and 2,635,228,584 is: 5,732,174,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,482,647 : 2,635,228,584 = 2,635,228,584 : x
  2. Step 2: Convert to fraction form
    1,211,482,647/2,635,228,584 = 2,635,228,584/x
  3. Step 3: Cross multiply
    1,211,482,647x = 2,635,228,584 × 2,635,228,584
  4. Step 4: Simplify right side
    1,211,482,647x = 6,944,429,689,930,645,504
  5. Step 5: Solve for x
    x = 6,944,429,689,930,645,504/1,211,482,647
  6. Step 6: Final answer
    x = 5,732,174,296.62

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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.