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Finding the Third Proportional to 5,510,940 and 11,677,464

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Solution

The third proportional to 5,510,940 and 11,677,464 is: 24,744,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510,940 : 11,677,464 = 11,677,464 : x
  2. Step 2: Convert to fraction form
    5,510,940/11,677,464 = 11,677,464/x
  3. Step 3: Cross multiply
    5,510,940x = 11,677,464 × 11,677,464
  4. Step 4: Simplify right side
    5,510,940x = 136,363,165,471,296
  5. Step 5: Solve for x
    x = 136,363,165,471,296/5,510,940
  6. Step 6: Final answer
    x = 24,744,084.58

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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.