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Finding the Third Proportional to 16,798,667,373 and 35,993,432,508

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Solution

The third proportional to 16,798,667,373 and 35,993,432,508 is: 77,120,830,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798,667,373 : 35,993,432,508 = 35,993,432,508 : x
  2. Step 2: Convert to fraction form
    16,798,667,373/35,993,432,508 = 35,993,432,508/x
  3. Step 3: Cross multiply
    16,798,667,373x = 35,993,432,508 × 35,993,432,508
  4. Step 4: Simplify right side
    16,798,667,373x = 1,295,527,183,707,951,071,232
  5. Step 5: Solve for x
    x = 1,295,527,183,707,951,071,232/16,798,667,373
  6. Step 6: Final answer
    x = 77,120,830,774.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.