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Finding the Third Proportional to 11,937,276 and 24,313,521

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Solution

The third proportional to 11,937,276 and 24,313,521 is: 49,521,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937,276 : 24,313,521 = 24,313,521 : x
  2. Step 2: Convert to fraction form
    11,937,276/24,313,521 = 24,313,521/x
  3. Step 3: Cross multiply
    11,937,276x = 24,313,521 × 24,313,521
  4. Step 4: Simplify right side
    11,937,276x = 591,147,303,417,441
  5. Step 5: Solve for x
    x = 591,147,303,417,441/11,937,276
  6. Step 6: Final answer
    x = 49,521,122.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.