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Finding the Third Proportional to 79,974,951,369 and 166,569,382,425

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Solution

The third proportional to 79,974,951,369 and 166,569,382,425 is: 346,925,614,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,974,951,369 : 166,569,382,425 = 166,569,382,425 : x
  2. Step 2: Convert to fraction form
    79,974,951,369/166,569,382,425 = 166,569,382,425/x
  3. Step 3: Cross multiply
    79,974,951,369x = 166,569,382,425 × 166,569,382,425
  4. Step 4: Simplify right side
    79,974,951,369x = 27,745,359,161,445,899,567,104
  5. Step 5: Solve for x
    x = 27,745,359,161,445,899,567,104/79,974,951,369
  6. Step 6: Final answer
    x = 346,925,614,664.40

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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.