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Finding the Third Proportional to 699,700,869 and 1,619,851,743

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Solution

The third proportional to 699,700,869 and 1,619,851,743 is: 3,750,059,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,700,869 : 1,619,851,743 = 1,619,851,743 : x
  2. Step 2: Convert to fraction form
    699,700,869/1,619,851,743 = 1,619,851,743/x
  3. Step 3: Cross multiply
    699,700,869x = 1,619,851,743 × 1,619,851,743
  4. Step 4: Simplify right side
    699,700,869x = 2,623,919,669,300,137,984
  5. Step 5: Solve for x
    x = 2,623,919,669,300,137,984/699,700,869
  6. Step 6: Final answer
    x = 3,750,059,183.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.