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Finding the Third Proportional to 5,672,427 and 12,142,200

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Solution

The third proportional to 5,672,427 and 12,142,200 is: 25,991,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672,427 : 12,142,200 = 12,142,200 : x
  2. Step 2: Convert to fraction form
    5,672,427/12,142,200 = 12,142,200/x
  3. Step 3: Cross multiply
    5,672,427x = 12,142,200 × 12,142,200
  4. Step 4: Simplify right side
    5,672,427x = 147,433,020,840,000
  5. Step 5: Solve for x
    x = 147,433,020,840,000/5,672,427
  6. Step 6: Final answer
    x = 25,991,171.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.