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Finding the Third Proportional to 1,179,548,914 and 1,831,474,496

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Solution

The third proportional to 1,179,548,914 and 1,831,474,496 is: 2,843,713,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,548,914 : 1,831,474,496 = 1,831,474,496 : x
  2. Step 2: Convert to fraction form
    1,179,548,914/1,831,474,496 = 1,831,474,496/x
  3. Step 3: Cross multiply
    1,179,548,914x = 1,831,474,496 × 1,831,474,496
  4. Step 4: Simplify right side
    1,179,548,914x = 3,354,298,829,498,454,016
  5. Step 5: Solve for x
    x = 3,354,298,829,498,454,016/1,179,548,914
  6. Step 6: Final answer
    x = 2,843,713,210.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.