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Finding the Third Proportional to 5,409,419 and 11,422,447

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Solution

The third proportional to 5,409,419 and 11,422,447 is: 24,119,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,419 : 11,422,447 = 11,422,447 : x
  2. Step 2: Convert to fraction form
    5,409,419/11,422,447 = 11,422,447/x
  3. Step 3: Cross multiply
    5,409,419x = 11,422,447 × 11,422,447
  4. Step 4: Simplify right side
    5,409,419x = 130,472,295,467,809
  5. Step 5: Solve for x
    x = 130,472,295,467,809/5,409,419
  6. Step 6: Final answer
    x = 24,119,465.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.