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Finding the Third Proportional to 13,435,941 and 27,435,832.50

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Solution

The third proportional to 13,435,941 and 27,435,832.50 is: 56,023,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435,941 : 27,435,832.50 = 27,435,832.50 : x
  2. Step 2: Convert to fraction form
    13,435,941/27,435,832.50 = 27,435,832.50/x
  3. Step 3: Cross multiply
    13,435,941x = 27,435,832.50 × 27,435,832.50
  4. Step 4: Simplify right side
    13,435,941x = 752,724,904,968,056.25
  5. Step 5: Solve for x
    x = 752,724,904,968,056.25/13,435,941
  6. Step 6: Final answer
    x = 56,023,236.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.