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Finding the Third Proportional to 807,907,759 and 1,766,980,669

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Solution

The third proportional to 807,907,759 and 1,766,980,669 is: 3,864,575,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,907,759 : 1,766,980,669 = 1,766,980,669 : x
  2. Step 2: Convert to fraction form
    807,907,759/1,766,980,669 = 1,766,980,669/x
  3. Step 3: Cross multiply
    807,907,759x = 1,766,980,669 × 1,766,980,669
  4. Step 4: Simplify right side
    807,907,759x = 3,122,220,684,619,687,424
  5. Step 5: Solve for x
    x = 3,122,220,684,619,687,424/807,907,759
  6. Step 6: Final answer
    x = 3,864,575,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.