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Finding the Third Proportional to 23,557,646 and 49,831,410

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Solution

The third proportional to 23,557,646 and 49,831,410 is: 105,408,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557,646 : 49,831,410 = 49,831,410 : x
  2. Step 2: Convert to fraction form
    23,557,646/49,831,410 = 49,831,410/x
  3. Step 3: Cross multiply
    23,557,646x = 49,831,410 × 49,831,410
  4. Step 4: Simplify right side
    23,557,646x = 2,483,169,422,588,100
  5. Step 5: Solve for x
    x = 2,483,169,422,588,100/23,557,646
  6. Step 6: Final answer
    x = 105,408,215.34

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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.