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Finding the Third Proportional to 52,636,311 and 117,375,338.25

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Solution

The third proportional to 52,636,311 and 117,375,338.25 is: 261,738,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,636,311 : 117,375,338.25 = 117,375,338.25 : x
  2. Step 2: Convert to fraction form
    52,636,311/117,375,338.25 = 117,375,338.25/x
  3. Step 3: Cross multiply
    52,636,311x = 117,375,338.25 × 117,375,338.25
  4. Step 4: Simplify right side
    52,636,311x = 13,776,970,029,301,914
  5. Step 5: Solve for x
    x = 13,776,970,029,301,914/52,636,311
  6. Step 6: Final answer
    x = 261,738,897.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.