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Finding the Third Proportional to 3,288,518,205.75 and 6,751,370,748

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Solution

The third proportional to 3,288,518,205.75 and 6,751,370,748 is: 13,860,652,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,518,205.75 : 6,751,370,748 = 6,751,370,748 : x
  2. Step 2: Convert to fraction form
    3,288,518,205.75/6,751,370,748 = 6,751,370,748/x
  3. Step 3: Cross multiply
    3,288,518,205.75x = 6,751,370,748 × 6,751,370,748
  4. Step 4: Simplify right side
    3,288,518,205.75x = 45,581,006,976,950,083,584
  5. Step 5: Solve for x
    x = 45,581,006,976,950,083,584/3,288,518,205.75
  6. Step 6: Final answer
    x = 13,860,652,161.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.