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Finding the Third Proportional to 85,407,146,436 and 183,667,774,728

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Solution

The third proportional to 85,407,146,436 and 183,667,774,728 is: 394,976,917,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407,146,436 : 183,667,774,728 = 183,667,774,728 : x
  2. Step 2: Convert to fraction form
    85,407,146,436/183,667,774,728 = 183,667,774,728/x
  3. Step 3: Cross multiply
    85,407,146,436x = 183,667,774,728 × 183,667,774,728
  4. Step 4: Simplify right side
    85,407,146,436x = 33,733,851,473,535,356,108,800
  5. Step 5: Solve for x
    x = 33,733,851,473,535,356,108,800/85,407,146,436
  6. Step 6: Final answer
    x = 394,976,917,989.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.