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Finding the Third Proportional to 5,282,097 and 11,576,775

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Solution

The third proportional to 5,282,097 and 11,576,775 is: 25,372,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282,097 : 11,576,775 = 11,576,775 : x
  2. Step 2: Convert to fraction form
    5,282,097/11,576,775 = 11,576,775/x
  3. Step 3: Cross multiply
    5,282,097x = 11,576,775 × 11,576,775
  4. Step 4: Simplify right side
    5,282,097x = 134,021,719,400,625
  5. Step 5: Solve for x
    x = 134,021,719,400,625/5,282,097
  6. Step 6: Final answer
    x = 25,372,824.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.