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Finding the Third Proportional to 11,225,161 and 16,417,837

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Solution

The third proportional to 11,225,161 and 16,417,837 is: 24,012,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225,161 : 16,417,837 = 16,417,837 : x
  2. Step 2: Convert to fraction form
    11,225,161/16,417,837 = 16,417,837/x
  3. Step 3: Cross multiply
    11,225,161x = 16,417,837 × 16,417,837
  4. Step 4: Simplify right side
    11,225,161x = 269,545,371,758,569
  5. Step 5: Solve for x
    x = 269,545,371,758,569/11,225,161
  6. Step 6: Final answer
    x = 24,012,606.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.