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Finding the Third Proportional to 9,633,097.13 and 20,212,014.80

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Solution

The third proportional to 9,633,097.13 and 20,212,014.80 is: 42,408,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633,097.13 : 20,212,014.80 = 20,212,014.80 : x
  2. Step 2: Convert to fraction form
    9,633,097.13/20,212,014.80 = 20,212,014.80/x
  3. Step 3: Cross multiply
    9,633,097.13x = 20,212,014.80 × 20,212,014.80
  4. Step 4: Simplify right side
    9,633,097.13x = 408,525,542,149,093.94
  5. Step 5: Solve for x
    x = 408,525,542,149,093.94/9,633,097.13
  6. Step 6: Final answer
    x = 42,408,535.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.