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Finding the Third Proportional to 5,904,174.75 and 9,640,985.63

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Solution

The third proportional to 5,904,174.75 and 9,640,985.63 is: 15,742,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904,174.75 : 9,640,985.63 = 9,640,985.63 : x
  2. Step 2: Convert to fraction form
    5,904,174.75/9,640,985.63 = 9,640,985.63/x
  3. Step 3: Cross multiply
    5,904,174.75x = 9,640,985.63 × 9,640,985.63
  4. Step 4: Simplify right side
    5,904,174.75x = 92,948,603,821,456.64
  5. Step 5: Solve for x
    x = 92,948,603,821,456.64/5,904,174.75
  6. Step 6: Final answer
    x = 15,742,861.24

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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.