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Finding the Third Proportional to 2,613,915.56 and 5,692,877.44

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Solution

The third proportional to 2,613,915.56 and 5,692,877.44 is: 12,398,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,915.56 : 5,692,877.44 = 5,692,877.44 : x
  2. Step 2: Convert to fraction form
    2,613,915.56/5,692,877.44 = 5,692,877.44/x
  3. Step 3: Cross multiply
    2,613,915.56x = 5,692,877.44 × 5,692,877.44
  4. Step 4: Simplify right side
    2,613,915.56x = 32,408,853,518,396.57
  5. Step 5: Solve for x
    x = 32,408,853,518,396.57/2,613,915.56
  6. Step 6: Final answer
    x = 12,398,584.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.