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Finding the Third Proportional to 4,238,029 and 9,282,251

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Solution

The third proportional to 4,238,029 and 9,282,251 is: 20,330,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238,029 : 9,282,251 = 9,282,251 : x
  2. Step 2: Convert to fraction form
    4,238,029/9,282,251 = 9,282,251/x
  3. Step 3: Cross multiply
    4,238,029x = 9,282,251 × 9,282,251
  4. Step 4: Simplify right side
    4,238,029x = 86,160,183,627,001
  5. Step 5: Solve for x
    x = 86,160,183,627,001/4,238,029
  6. Step 6: Final answer
    x = 20,330,248.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.