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Finding the Third Proportional to 27,831,302 and 38,456,840

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Solution

The third proportional to 27,831,302 and 38,456,840 is: 53,139,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831,302 : 38,456,840 = 38,456,840 : x
  2. Step 2: Convert to fraction form
    27,831,302/38,456,840 = 38,456,840/x
  3. Step 3: Cross multiply
    27,831,302x = 38,456,840 × 38,456,840
  4. Step 4: Simplify right side
    27,831,302x = 1,478,928,542,785,600
  5. Step 5: Solve for x
    x = 1,478,928,542,785,600/27,831,302
  6. Step 6: Final answer
    x = 53,139,035.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.