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Finding the Third Proportional to 27,473,097 and 54,254,742

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Solution

The third proportional to 27,473,097 and 54,254,742 is: 107,143,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473,097 : 54,254,742 = 54,254,742 : x
  2. Step 2: Convert to fraction form
    27,473,097/54,254,742 = 54,254,742/x
  3. Step 3: Cross multiply
    27,473,097x = 54,254,742 × 54,254,742
  4. Step 4: Simplify right side
    27,473,097x = 2,943,577,029,486,564
  5. Step 5: Solve for x
    x = 2,943,577,029,486,564/27,473,097
  6. Step 6: Final answer
    x = 107,143,982.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.