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Finding the Third Proportional to 2,476,413 and 5,365,017

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Solution

The third proportional to 2,476,413 and 5,365,017 is: 11,623,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476,413 : 5,365,017 = 5,365,017 : x
  2. Step 2: Convert to fraction form
    2,476,413/5,365,017 = 5,365,017/x
  3. Step 3: Cross multiply
    2,476,413x = 5,365,017 × 5,365,017
  4. Step 4: Simplify right side
    2,476,413x = 28,783,407,410,289
  5. Step 5: Solve for x
    x = 28,783,407,410,289/2,476,413
  6. Step 6: Final answer
    x = 11,623,023.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.