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Finding the Third Proportional to 51,171,336 and 110,845,728

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Solution

The third proportional to 51,171,336 and 110,845,728 is: 240,110,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171,336 : 110,845,728 = 110,845,728 : x
  2. Step 2: Convert to fraction form
    51,171,336/110,845,728 = 110,845,728/x
  3. Step 3: Cross multiply
    51,171,336x = 110,845,728 × 110,845,728
  4. Step 4: Simplify right side
    51,171,336x = 12,286,775,415,849,984
  5. Step 5: Solve for x
    x = 12,286,775,415,849,984/51,171,336
  6. Step 6: Final answer
    x = 240,110,506.71

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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.