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Finding the Third Proportional to 2,435,400 and 5,261,042.81

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Solution

The third proportional to 2,435,400 and 5,261,042.81 is: 11,365,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435,400 : 5,261,042.81 = 5,261,042.81 : x
  2. Step 2: Convert to fraction form
    2,435,400/5,261,042.81 = 5,261,042.81/x
  3. Step 3: Cross multiply
    2,435,400x = 5,261,042.81 × 5,261,042.81
  4. Step 4: Simplify right side
    2,435,400x = 27,678,571,474,957.91
  5. Step 5: Solve for x
    x = 27,678,571,474,957.91/2,435,400
  6. Step 6: Final answer
    x = 11,365,102.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.