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Finding the Third Proportional to 4,109,474.25 and 6,544,749.38

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Solution

The third proportional to 4,109,474.25 and 6,544,749.38 is: 10,423,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109,474.25 : 6,544,749.38 = 6,544,749.38 : x
  2. Step 2: Convert to fraction form
    4,109,474.25/6,544,749.38 = 6,544,749.38/x
  3. Step 3: Cross multiply
    4,109,474.25x = 6,544,749.38 × 6,544,749.38
  4. Step 4: Simplify right side
    4,109,474.25x = 42,833,744,381,562.89
  5. Step 5: Solve for x
    x = 42,833,744,381,562.89/4,109,474.25
  6. Step 6: Final answer
    x = 10,423,168.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.