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Finding the Third Proportional to 51,146,685 and 109,548,378

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Solution

The third proportional to 51,146,685 and 109,548,378 is: 234,635,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146,685 : 109,548,378 = 109,548,378 : x
  2. Step 2: Convert to fraction form
    51,146,685/109,548,378 = 109,548,378/x
  3. Step 3: Cross multiply
    51,146,685x = 109,548,378 × 109,548,378
  4. Step 4: Simplify right side
    51,146,685x = 12,000,847,122,430,884
  5. Step 5: Solve for x
    x = 12,000,847,122,430,884/51,146,685
  6. Step 6: Final answer
    x = 234,635,873.71

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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.