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Finding the Third Proportional to 22,321,273 and 47,831,193

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Solution

The third proportional to 22,321,273 and 47,831,193 is: 102,495,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321,273 : 47,831,193 = 47,831,193 : x
  2. Step 2: Convert to fraction form
    22,321,273/47,831,193 = 47,831,193/x
  3. Step 3: Cross multiply
    22,321,273x = 47,831,193 × 47,831,193
  4. Step 4: Simplify right side
    22,321,273x = 2,287,823,023,803,249
  5. Step 5: Solve for x
    x = 2,287,823,023,803,249/22,321,273
  6. Step 6: Final answer
    x = 102,495,185.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.