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Finding the Third Proportional to 5,911,038 and 12,733,932

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Solution

The third proportional to 5,911,038 and 12,733,932 is: 27,432,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911,038 : 12,733,932 = 12,733,932 : x
  2. Step 2: Convert to fraction form
    5,911,038/12,733,932 = 12,733,932/x
  3. Step 3: Cross multiply
    5,911,038x = 12,733,932 × 12,733,932
  4. Step 4: Simplify right side
    5,911,038x = 162,153,024,180,624
  5. Step 5: Solve for x
    x = 162,153,024,180,624/5,911,038
  6. Step 6: Final answer
    x = 27,432,241.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.