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Finding the Third Proportional to 5,409,413 and 11,422,438

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Solution

The third proportional to 5,409,413 and 11,422,438 is: 24,119,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,413 : 11,422,438 = 11,422,438 : x
  2. Step 2: Convert to fraction form
    5,409,413/11,422,438 = 11,422,438/x
  3. Step 3: Cross multiply
    5,409,413x = 11,422,438 × 11,422,438
  4. Step 4: Simplify right side
    5,409,413x = 130,472,089,863,844
  5. Step 5: Solve for x
    x = 130,472,089,863,844/5,409,413
  6. Step 6: Final answer
    x = 24,119,454.34

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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.