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Finding the Third Proportional to 11,463,435 and 18,407,385

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Solution

The third proportional to 11,463,435 and 18,407,385 is: 29,557,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463,435 : 18,407,385 = 18,407,385 : x
  2. Step 2: Convert to fraction form
    11,463,435/18,407,385 = 18,407,385/x
  3. Step 3: Cross multiply
    11,463,435x = 18,407,385 × 18,407,385
  4. Step 4: Simplify right side
    11,463,435x = 338,831,822,538,225
  5. Step 5: Solve for x
    x = 338,831,822,538,225/11,463,435
  6. Step 6: Final answer
    x = 29,557,617.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.