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Finding the Third Proportional to 9,902,403 and 15,147,846

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Solution

The third proportional to 9,902,403 and 15,147,846 is: 23,171,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,403 : 15,147,846 = 15,147,846 : x
  2. Step 2: Convert to fraction form
    9,902,403/15,147,846 = 15,147,846/x
  3. Step 3: Cross multiply
    9,902,403x = 15,147,846 × 15,147,846
  4. Step 4: Simplify right side
    9,902,403x = 229,457,238,439,716
  5. Step 5: Solve for x
    x = 229,457,238,439,716/9,902,403
  6. Step 6: Final answer
    x = 23,171,874.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.