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Finding the Third Proportional to 9,783,670 and 14,823,249

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Solution

The third proportional to 9,783,670 and 14,823,249 is: 22,458,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783,670 : 14,823,249 = 14,823,249 : x
  2. Step 2: Convert to fraction form
    9,783,670/14,823,249 = 14,823,249/x
  3. Step 3: Cross multiply
    9,783,670x = 14,823,249 × 14,823,249
  4. Step 4: Simplify right side
    9,783,670x = 219,728,710,916,001
  5. Step 5: Solve for x
    x = 219,728,710,916,001/9,783,670
  6. Step 6: Final answer
    x = 22,458,720.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.