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Finding the Third Proportional to 3,251,461.50 and 6,699,732.75

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Solution

The third proportional to 3,251,461.50 and 6,699,732.75 is: 13,804,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,461.50 : 6,699,732.75 = 6,699,732.75 : x
  2. Step 2: Convert to fraction form
    3,251,461.50/6,699,732.75 = 6,699,732.75/x
  3. Step 3: Cross multiply
    3,251,461.50x = 6,699,732.75 × 6,699,732.75
  4. Step 4: Simplify right side
    3,251,461.50x = 44,886,418,921,422.56
  5. Step 5: Solve for x
    x = 44,886,418,921,422.56/3,251,461.50
  6. Step 6: Final answer
    x = 13,804,997.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.