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Finding the Third Proportional to 23,557,644 and 49,831,406

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Solution

The third proportional to 23,557,644 and 49,831,406 is: 105,408,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557,644 : 49,831,406 = 49,831,406 : x
  2. Step 2: Convert to fraction form
    23,557,644/49,831,406 = 49,831,406/x
  3. Step 3: Cross multiply
    23,557,644x = 49,831,406 × 49,831,406
  4. Step 4: Simplify right side
    23,557,644x = 2,483,169,023,936,836
  5. Step 5: Solve for x
    x = 2,483,169,023,936,836/23,557,644
  6. Step 6: Final answer
    x = 105,408,207.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.