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Finding the Third Proportional to 27,831,298 and 38,456,835

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Solution

The third proportional to 27,831,298 and 38,456,835 is: 53,139,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831,298 : 38,456,835 = 38,456,835 : x
  2. Step 2: Convert to fraction form
    27,831,298/38,456,835 = 38,456,835/x
  3. Step 3: Cross multiply
    27,831,298x = 38,456,835 × 38,456,835
  4. Step 4: Simplify right side
    27,831,298x = 1,478,928,158,217,225
  5. Step 5: Solve for x
    x = 1,478,928,158,217,225/27,831,298
  6. Step 6: Final answer
    x = 53,139,029.24

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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.