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Finding the Third Proportional to 11,021,880 and 23,354,928

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Solution

The third proportional to 11,021,880 and 23,354,928 is: 49,488,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021,880 : 23,354,928 = 23,354,928 : x
  2. Step 2: Convert to fraction form
    11,021,880/23,354,928 = 23,354,928/x
  3. Step 3: Cross multiply
    11,021,880x = 23,354,928 × 23,354,928
  4. Step 4: Simplify right side
    11,021,880x = 545,452,661,885,184
  5. Step 5: Solve for x
    x = 545,452,661,885,184/11,021,880
  6. Step 6: Final answer
    x = 49,488,169.16

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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.