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Finding the Third Proportional to 3,789,982.13 and 5,831,356.13

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Solution

The third proportional to 3,789,982.13 and 5,831,356.13 is: 8,972,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,982.13 : 5,831,356.13 = 5,831,356.13 : x
  2. Step 2: Convert to fraction form
    3,789,982.13/5,831,356.13 = 5,831,356.13/x
  3. Step 3: Cross multiply
    3,789,982.13x = 5,831,356.13 × 5,831,356.13
  4. Step 4: Simplify right side
    3,789,982.13x = 34,004,714,256,575.02
  5. Step 5: Solve for x
    x = 34,004,714,256,575.02/3,789,982.13
  6. Step 6: Final answer
    x = 8,972,262.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.