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Finding the Third Proportional to 11,446,492 and 24,218,036

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Solution

The third proportional to 11,446,492 and 24,218,036 is: 51,239,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446,492 : 24,218,036 = 24,218,036 : x
  2. Step 2: Convert to fraction form
    11,446,492/24,218,036 = 24,218,036/x
  3. Step 3: Cross multiply
    11,446,492x = 24,218,036 × 24,218,036
  4. Step 4: Simplify right side
    11,446,492x = 586,513,267,697,296
  5. Step 5: Solve for x
    x = 586,513,267,697,296/11,446,492
  6. Step 6: Final answer
    x = 51,239,564.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.