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Finding the Third Proportional to 3,042,928 and 6,425,424

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Solution

The third proportional to 3,042,928 and 6,425,424 is: 13,567,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,928 : 6,425,424 = 6,425,424 : x
  2. Step 2: Convert to fraction form
    3,042,928/6,425,424 = 6,425,424/x
  3. Step 3: Cross multiply
    3,042,928x = 6,425,424 × 6,425,424
  4. Step 4: Simplify right side
    3,042,928x = 41,286,073,579,776
  5. Step 5: Solve for x
    x = 41,286,073,579,776/3,042,928
  6. Step 6: Final answer
    x = 13,567,877.25

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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.