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Finding the Third Proportional to 4,193,448.47 and 9,172,029.94

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Solution

The third proportional to 4,193,448.47 and 9,172,029.94 is: 20,061,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,448.47 : 9,172,029.94 = 9,172,029.94 : x
  2. Step 2: Convert to fraction form
    4,193,448.47/9,172,029.94 = 9,172,029.94/x
  3. Step 3: Cross multiply
    4,193,448.47x = 9,172,029.94 × 9,172,029.94
  4. Step 4: Simplify right side
    4,193,448.47x = 84,126,133,174,396.25
  5. Step 5: Solve for x
    x = 84,126,133,174,396.25/4,193,448.47
  6. Step 6: Final answer
    x = 20,061,325.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.