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Finding the Third Proportional to 13,097,216 and 27,551,771

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Solution

The third proportional to 13,097,216 and 27,551,771 is: 57,958,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097,216 : 27,551,771 = 27,551,771 : x
  2. Step 2: Convert to fraction form
    13,097,216/27,551,771 = 27,551,771/x
  3. Step 3: Cross multiply
    13,097,216x = 27,551,771 × 27,551,771
  4. Step 4: Simplify right side
    13,097,216x = 759,100,085,236,441
  5. Step 5: Solve for x
    x = 759,100,085,236,441/13,097,216
  6. Step 6: Final answer
    x = 57,958,888.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.