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Finding the Third Proportional to 6,009,538.50 and 14,172,036.75

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Solution

The third proportional to 6,009,538.50 and 14,172,036.75 is: 33,421,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,538.50 : 14,172,036.75 = 14,172,036.75 : x
  2. Step 2: Convert to fraction form
    6,009,538.50/14,172,036.75 = 14,172,036.75/x
  3. Step 3: Cross multiply
    6,009,538.50x = 14,172,036.75 × 14,172,036.75
  4. Step 4: Simplify right side
    6,009,538.50x = 200,846,625,643,350.56
  5. Step 5: Solve for x
    x = 200,846,625,643,350.56/6,009,538.50
  6. Step 6: Final answer
    x = 33,421,306.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.