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Finding the Third Proportional to 51,171,338 and 110,845,732

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Solution

The third proportional to 51,171,338 and 110,845,732 is: 240,110,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171,338 : 110,845,732 = 110,845,732 : x
  2. Step 2: Convert to fraction form
    51,171,338/110,845,732 = 110,845,732/x
  3. Step 3: Cross multiply
    51,171,338x = 110,845,732 × 110,845,732
  4. Step 4: Simplify right side
    51,171,338x = 12,286,776,302,615,824
  5. Step 5: Solve for x
    x = 12,286,776,302,615,824/51,171,338
  6. Step 6: Final answer
    x = 240,110,514.65

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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.