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Finding the Third Proportional to 5,654,690 and 12,206,200

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Solution

The third proportional to 5,654,690 and 12,206,200 is: 26,348,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654,690 : 12,206,200 = 12,206,200 : x
  2. Step 2: Convert to fraction form
    5,654,690/12,206,200 = 12,206,200/x
  3. Step 3: Cross multiply
    5,654,690x = 12,206,200 × 12,206,200
  4. Step 4: Simplify right side
    5,654,690x = 148,991,318,440,000
  5. Step 5: Solve for x
    x = 148,991,318,440,000/5,654,690
  6. Step 6: Final answer
    x = 26,348,273.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.