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Finding the Third Proportional to 39,696,186 and 85,474,581

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Solution

The third proportional to 39,696,186 and 85,474,581 is: 184,045,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696,186 : 85,474,581 = 85,474,581 : x
  2. Step 2: Convert to fraction form
    39,696,186/85,474,581 = 85,474,581/x
  3. Step 3: Cross multiply
    39,696,186x = 85,474,581 × 85,474,581
  4. Step 4: Simplify right side
    39,696,186x = 7,305,903,997,125,561
  5. Step 5: Solve for x
    x = 7,305,903,997,125,561/39,696,186
  6. Step 6: Final answer
    x = 184,045,489.84

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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.