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Finding the Third Proportional to 51,538,410 and 110,454,390

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Solution

The third proportional to 51,538,410 and 110,454,390 is: 236,719,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538,410 : 110,454,390 = 110,454,390 : x
  2. Step 2: Convert to fraction form
    51,538,410/110,454,390 = 110,454,390/x
  3. Step 3: Cross multiply
    51,538,410x = 110,454,390 × 110,454,390
  4. Step 4: Simplify right side
    51,538,410x = 12,200,172,270,272,100
  5. Step 5: Solve for x
    x = 12,200,172,270,272,100/51,538,410
  6. Step 6: Final answer
    x = 236,719,997.19

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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.