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Finding the Third Proportional to 5,421,584 and 7,951,259

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Solution

The third proportional to 5,421,584 and 7,951,259 is: 11,661,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,584 : 7,951,259 = 7,951,259 : x
  2. Step 2: Convert to fraction form
    5,421,584/7,951,259 = 7,951,259/x
  3. Step 3: Cross multiply
    5,421,584x = 7,951,259 × 7,951,259
  4. Step 4: Simplify right side
    5,421,584x = 63,222,519,685,081
  5. Step 5: Solve for x
    x = 63,222,519,685,081/5,421,584
  6. Step 6: Final answer
    x = 11,661,263.51

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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.