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Finding the Third Proportional to 4,224,296.81 and 8,672,538.38

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Solution

The third proportional to 4,224,296.81 and 8,672,538.38 is: 17,804,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224,296.81 : 8,672,538.38 = 8,672,538.38 : x
  2. Step 2: Convert to fraction form
    4,224,296.81/8,672,538.38 = 8,672,538.38/x
  3. Step 3: Cross multiply
    4,224,296.81x = 8,672,538.38 × 8,672,538.38
  4. Step 4: Simplify right side
    4,224,296.81x = 75,212,921,865,847.64
  5. Step 5: Solve for x
    x = 75,212,921,865,847.64/4,224,296.81
  6. Step 6: Final answer
    x = 17,804,838.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.