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Finding the Third Proportional to 5,387,258 and 11,629,120

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Solution

The third proportional to 5,387,258 and 11,629,120 is: 25,103,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,258 : 11,629,120 = 11,629,120 : x
  2. Step 2: Convert to fraction form
    5,387,258/11,629,120 = 11,629,120/x
  3. Step 3: Cross multiply
    5,387,258x = 11,629,120 × 11,629,120
  4. Step 4: Simplify right side
    5,387,258x = 135,236,431,974,400
  5. Step 5: Solve for x
    x = 135,236,431,974,400/5,387,258
  6. Step 6: Final answer
    x = 25,103,017.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.