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Finding the Third Proportional to 24,538,347 and 53,166,196

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Solution

The third proportional to 24,538,347 and 53,166,196 is: 115,192,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538,347 : 53,166,196 = 53,166,196 : x
  2. Step 2: Convert to fraction form
    24,538,347/53,166,196 = 53,166,196/x
  3. Step 3: Cross multiply
    24,538,347x = 53,166,196 × 53,166,196
  4. Step 4: Simplify right side
    24,538,347x = 2,826,644,397,110,416
  5. Step 5: Solve for x
    x = 2,826,644,397,110,416/24,538,347
  6. Step 6: Final answer
    x = 115,192,942.59

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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.