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Finding the Third Proportional to 79,974,950,868 and 166,569,381,333

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Solution

The third proportional to 79,974,950,868 and 166,569,381,333 is: 346,925,612,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,974,950,868 : 166,569,381,333 = 166,569,381,333 : x
  2. Step 2: Convert to fraction form
    79,974,950,868/166,569,381,333 = 166,569,381,333/x
  3. Step 3: Cross multiply
    79,974,950,868x = 166,569,381,333 × 166,569,381,333
  4. Step 4: Simplify right side
    79,974,950,868x = 27,745,358,797,658,369,556,480
  5. Step 5: Solve for x
    x = 27,745,358,797,658,369,556,480/79,974,950,868
  6. Step 6: Final answer
    x = 346,925,612,288.94

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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.