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Finding the Third Proportional to 51,538,414 and 110,454,396.50

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Solution

The third proportional to 51,538,414 and 110,454,396.50 is: 236,720,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538,414 : 110,454,396.50 = 110,454,396.50 : x
  2. Step 2: Convert to fraction form
    51,538,414/110,454,396.50 = 110,454,396.50/x
  3. Step 3: Cross multiply
    51,538,414x = 110,454,396.50 × 110,454,396.50
  4. Step 4: Simplify right side
    51,538,414x = 12,200,173,706,179,212
  5. Step 5: Solve for x
    x = 12,200,173,706,179,212/51,538,414
  6. Step 6: Final answer
    x = 236,720,006.68

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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.