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Finding the Third Proportional to 17,974,951,034 and 39,078,538,370

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Solution

The third proportional to 17,974,951,034 and 39,078,538,370 is: 84,958,905,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974,951,034 : 39,078,538,370 = 39,078,538,370 : x
  2. Step 2: Convert to fraction form
    17,974,951,034/39,078,538,370 = 39,078,538,370/x
  3. Step 3: Cross multiply
    17,974,951,034x = 39,078,538,370 × 39,078,538,370
  4. Step 4: Simplify right side
    17,974,951,034x = 1,527,132,161,135,562,194,944
  5. Step 5: Solve for x
    x = 1,527,132,161,135,562,194,944/17,974,951,034
  6. Step 6: Final answer
    x = 84,958,905,214.65

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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.