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Finding the Third Proportional to 14,807,225.25 and 33,017,178.38

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Solution

The third proportional to 14,807,225.25 and 33,017,178.38 is: 73,621,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807,225.25 : 33,017,178.38 = 33,017,178.38 : x
  2. Step 2: Convert to fraction form
    14,807,225.25/33,017,178.38 = 33,017,178.38/x
  3. Step 3: Cross multiply
    14,807,225.25x = 33,017,178.38 × 33,017,178.38
  4. Step 4: Simplify right side
    14,807,225.25x = 1,090,134,067,846,567.62
  5. Step 5: Solve for x
    x = 1,090,134,067,846,567.62/14,807,225.25
  6. Step 6: Final answer
    x = 73,621,765.69

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.