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Finding the Third Proportional to 79,974,951,372 and 166,569,382,432

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Solution

The third proportional to 79,974,951,372 and 166,569,382,432 is: 346,925,614,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,974,951,372 : 166,569,382,432 = 166,569,382,432 : x
  2. Step 2: Convert to fraction form
    79,974,951,372/166,569,382,432 = 166,569,382,432/x
  3. Step 3: Cross multiply
    79,974,951,372x = 166,569,382,432 × 166,569,382,432
  4. Step 4: Simplify right side
    79,974,951,372x = 27,745,359,163,777,869,676,544
  5. Step 5: Solve for x
    x = 27,745,359,163,777,869,676,544/79,974,951,372
  6. Step 6: Final answer
    x = 346,925,614,680.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.