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Finding the Third Proportional to 27,831,296 and 38,456,832

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Solution

The third proportional to 27,831,296 and 38,456,832 is: 53,139,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831,296 : 38,456,832 = 38,456,832 : x
  2. Step 2: Convert to fraction form
    27,831,296/38,456,832 = 38,456,832/x
  3. Step 3: Cross multiply
    27,831,296x = 38,456,832 × 38,456,832
  4. Step 4: Simplify right side
    27,831,296x = 1,478,927,927,476,224
  5. Step 5: Solve for x
    x = 1,478,927,927,476,224/27,831,296
  6. Step 6: Final answer
    x = 53,139,024.77

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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.