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Finding the Third Proportional to 5,904,190 and 9,641,009

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Solution

The third proportional to 5,904,190 and 9,641,009 is: 15,742,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904,190 : 9,641,009 = 9,641,009 : x
  2. Step 2: Convert to fraction form
    5,904,190/9,641,009 = 9,641,009/x
  3. Step 3: Cross multiply
    5,904,190x = 9,641,009 × 9,641,009
  4. Step 4: Simplify right side
    5,904,190x = 92,949,054,538,081
  5. Step 5: Solve for x
    x = 92,949,054,538,081/5,904,190
  6. Step 6: Final answer
    x = 15,742,896.92

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.