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Finding the Third Proportional to 4,753,710.56 and 7,131,594.94

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Solution

The third proportional to 4,753,710.56 and 7,131,594.94 is: 10,698,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753,710.56 : 7,131,594.94 = 7,131,594.94 : x
  2. Step 2: Convert to fraction form
    4,753,710.56/7,131,594.94 = 7,131,594.94/x
  3. Step 3: Cross multiply
    4,753,710.56x = 7,131,594.94 × 7,131,594.94
  4. Step 4: Simplify right side
    4,753,710.56x = 50,859,646,352,575.62
  5. Step 5: Solve for x
    x = 50,859,646,352,575.62/4,753,710.56
  6. Step 6: Final answer
    x = 10,698,936.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.