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Finding the Third Proportional to 5,421,576 and 7,951,248

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Solution

The third proportional to 5,421,576 and 7,951,248 is: 11,661,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,576 : 7,951,248 = 7,951,248 : x
  2. Step 2: Convert to fraction form
    5,421,576/7,951,248 = 7,951,248/x
  3. Step 3: Cross multiply
    5,421,576x = 7,951,248 × 7,951,248
  4. Step 4: Simplify right side
    5,421,576x = 63,222,344,757,504
  5. Step 5: Solve for x
    x = 63,222,344,757,504/5,421,576
  6. Step 6: Final answer
    x = 11,661,248.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.