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Finding the Third Proportional to 5,610,714 and 12,177,876

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Solution

The third proportional to 5,610,714 and 12,177,876 is: 26,431,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610,714 : 12,177,876 = 12,177,876 : x
  2. Step 2: Convert to fraction form
    5,610,714/12,177,876 = 12,177,876/x
  3. Step 3: Cross multiply
    5,610,714x = 12,177,876 × 12,177,876
  4. Step 4: Simplify right side
    5,610,714x = 148,300,663,871,376
  5. Step 5: Solve for x
    x = 148,300,663,871,376/5,610,714
  6. Step 6: Final answer
    x = 26,431,691.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.