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Finding the Third Proportional to 5,425,206 and 8,392,915.50

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Solution

The third proportional to 5,425,206 and 8,392,915.50 is: 12,984,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425,206 : 8,392,915.50 = 8,392,915.50 : x
  2. Step 2: Convert to fraction form
    5,425,206/8,392,915.50 = 8,392,915.50/x
  3. Step 3: Cross multiply
    5,425,206x = 8,392,915.50 × 8,392,915.50
  4. Step 4: Simplify right side
    5,425,206x = 70,441,030,590,140.25
  5. Step 5: Solve for x
    x = 70,441,030,590,140.25/5,425,206
  6. Step 6: Final answer
    x = 12,984,028.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.