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Finding the Third Proportional to 4,174,189.03 and 6,385,420.69

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Solution

The third proportional to 4,174,189.03 and 6,385,420.69 is: 9,768,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174,189.03 : 6,385,420.69 = 6,385,420.69 : x
  2. Step 2: Convert to fraction form
    4,174,189.03/6,385,420.69 = 6,385,420.69/x
  3. Step 3: Cross multiply
    4,174,189.03x = 6,385,420.69 × 6,385,420.69
  4. Step 4: Simplify right side
    4,174,189.03x = 40,773,597,356,352.97
  5. Step 5: Solve for x
    x = 40,773,597,356,352.97/4,174,189.03
  6. Step 6: Final answer
    x = 9,768,028.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.