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Finding the Third Proportional to 51,538,418 and 110,454,406

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Solution

The third proportional to 51,538,418 and 110,454,406 is: 236,720,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,538,418 : 110,454,406 = 110,454,406 : x
  2. Step 2: Convert to fraction form
    51,538,418/110,454,406 = 110,454,406/x
  3. Step 3: Cross multiply
    51,538,418x = 110,454,406 × 110,454,406
  4. Step 4: Simplify right side
    51,538,418x = 12,200,175,804,812,836
  5. Step 5: Solve for x
    x = 12,200,175,804,812,836/51,538,418
  6. Step 6: Final answer
    x = 236,720,029.02

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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.