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Finding the Third Proportional to 6,011,273.25 and 14,176,209.94

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Solution

The third proportional to 6,011,273.25 and 14,176,209.94 is: 33,431,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011,273.25 : 14,176,209.94 = 14,176,209.94 : x
  2. Step 2: Convert to fraction form
    6,011,273.25/14,176,209.94 = 14,176,209.94/x
  3. Step 3: Cross multiply
    6,011,273.25x = 14,176,209.94 × 14,176,209.94
  4. Step 4: Simplify right side
    6,011,273.25x = 200,964,928,192,073.75
  5. Step 5: Solve for x
    x = 200,964,928,192,073.75/6,011,273.25
  6. Step 6: Final answer
    x = 33,431,341.39

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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.