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Finding the Third Proportional to 1,325,831,534 and 1,843,462,772

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Solution

The third proportional to 1,325,831,534 and 1,843,462,772 is: 2,563,187,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,831,534 : 1,843,462,772 = 1,843,462,772 : x
  2. Step 2: Convert to fraction form
    1,325,831,534/1,843,462,772 = 1,843,462,772/x
  3. Step 3: Cross multiply
    1,325,831,534x = 1,843,462,772 × 1,843,462,772
  4. Step 4: Simplify right side
    1,325,831,534x = 3,398,354,991,749,923,840
  5. Step 5: Solve for x
    x = 3,398,354,991,749,923,840/1,325,831,534
  6. Step 6: Final answer
    x = 2,563,187,633.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.