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Finding the Third Proportional to 5,801,197.50 and 12,078,765

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Solution

The third proportional to 5,801,197.50 and 12,078,765 is: 25,149,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,197.50 : 12,078,765 = 12,078,765 : x
  2. Step 2: Convert to fraction form
    5,801,197.50/12,078,765 = 12,078,765/x
  3. Step 3: Cross multiply
    5,801,197.50x = 12,078,765 × 12,078,765
  4. Step 4: Simplify right side
    5,801,197.50x = 145,896,563,925,225
  5. Step 5: Solve for x
    x = 145,896,563,925,225/5,801,197.50
  6. Step 6: Final answer
    x = 25,149,387.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.