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Finding the Third Proportional to 6,005,596.50 and 14,170,998.94

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Solution

The third proportional to 6,005,596.50 and 14,170,998.94 is: 33,438,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,596.50 : 14,170,998.94 = 14,170,998.94 : x
  2. Step 2: Convert to fraction form
    6,005,596.50/14,170,998.94 = 14,170,998.94/x
  3. Step 3: Cross multiply
    6,005,596.50x = 14,170,998.94 × 14,170,998.94
  4. Step 4: Simplify right side
    6,005,596.50x = 200,817,210,886,626.12
  5. Step 5: Solve for x
    x = 200,817,210,886,626.12/6,005,596.50
  6. Step 6: Final answer
    x = 33,438,345.53

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Why These Related Problems?

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