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Finding the Third Proportional to 4,340,791.13 and 6,385,717.69

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Solution

The third proportional to 4,340,791.13 and 6,385,717.69 is: 9,393,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340,791.13 : 6,385,717.69 = 6,385,717.69 : x
  2. Step 2: Convert to fraction form
    4,340,791.13/6,385,717.69 = 6,385,717.69/x
  3. Step 3: Cross multiply
    4,340,791.13x = 6,385,717.69 × 6,385,717.69
  4. Step 4: Simplify right side
    4,340,791.13x = 40,777,390,384,450.34
  5. Step 5: Solve for x
    x = 40,777,390,384,450.34/4,340,791.13
  6. Step 6: Final answer
    x = 9,393,999.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.