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Finding the Third Proportional to 5,465,997.75 and 12,654,054

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Solution

The third proportional to 5,465,997.75 and 12,654,054 is: 29,294,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465,997.75 : 12,654,054 = 12,654,054 : x
  2. Step 2: Convert to fraction form
    5,465,997.75/12,654,054 = 12,654,054/x
  3. Step 3: Cross multiply
    5,465,997.75x = 12,654,054 × 12,654,054
  4. Step 4: Simplify right side
    5,465,997.75x = 160,125,082,634,916
  5. Step 5: Solve for x
    x = 160,125,082,634,916/5,465,997.75
  6. Step 6: Final answer
    x = 29,294,758.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.