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Finding the Third Proportional to 699,693,534 and 1,619,833,419

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Solution

The third proportional to 699,693,534 and 1,619,833,419 is: 3,750,013,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,693,534 : 1,619,833,419 = 1,619,833,419 : x
  2. Step 2: Convert to fraction form
    699,693,534/1,619,833,419 = 1,619,833,419/x
  3. Step 3: Cross multiply
    699,693,534x = 1,619,833,419 × 1,619,833,419
  4. Step 4: Simplify right side
    699,693,534x = 2,623,860,305,309,229,568
  5. Step 5: Solve for x
    x = 2,623,860,305,309,229,568/699,693,534
  6. Step 6: Final answer
    x = 3,750,013,652.85

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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.