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Finding the Third Proportional to 17,893,878.75 and 27,538,353

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Solution

The third proportional to 17,893,878.75 and 27,538,353 is: 42,381,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893,878.75 : 27,538,353 = 27,538,353 : x
  2. Step 2: Convert to fraction form
    17,893,878.75/27,538,353 = 27,538,353/x
  3. Step 3: Cross multiply
    17,893,878.75x = 27,538,353 × 27,538,353
  4. Step 4: Simplify right side
    17,893,878.75x = 758,360,885,952,609
  5. Step 5: Solve for x
    x = 758,360,885,952,609/17,893,878.75
  6. Step 6: Final answer
    x = 42,381,022.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.