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Finding the Third Proportional to 530,984,442,744 and 1,167,879,961,638

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Solution

The third proportional to 530,984,442,744 and 1,167,879,961,638 is: 2,568,707,282,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,984,442,744 : 1,167,879,961,638 = 1,167,879,961,638 : x
  2. Step 2: Convert to fraction form
    530,984,442,744/1,167,879,961,638 = 1,167,879,961,638/x
  3. Step 3: Cross multiply
    530,984,442,744x = 1,167,879,961,638 × 1,167,879,961,638
  4. Step 4: Simplify right side
    530,984,442,744x = 1,363,943,604,795,576,462,344,192
  5. Step 5: Solve for x
    x = 1,363,943,604,795,576,462,344,192/530,984,442,744
  6. Step 6: Final answer
    x = 2,568,707,282,170.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.