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Finding the Third Proportional to 3,042,937.13 and 6,425,407.69

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Solution

The third proportional to 3,042,937.13 and 6,425,407.69 is: 13,567,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,937.13 : 6,425,407.69 = 6,425,407.69 : x
  2. Step 2: Convert to fraction form
    3,042,937.13/6,425,407.69 = 6,425,407.69/x
  3. Step 3: Cross multiply
    3,042,937.13x = 6,425,407.69 × 6,425,407.69
  4. Step 4: Simplify right side
    3,042,937.13x = 41,285,863,950,584.09
  5. Step 5: Solve for x
    x = 41,285,863,950,584.09/3,042,937.13
  6. Step 6: Final answer
    x = 13,567,767.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.