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Finding the Third Proportional to 39,309,696 and 85,058,304

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Solution

The third proportional to 39,309,696 and 85,058,304 is: 184,049,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,309,696 : 85,058,304 = 85,058,304 : x
  2. Step 2: Convert to fraction form
    39,309,696/85,058,304 = 85,058,304/x
  3. Step 3: Cross multiply
    39,309,696x = 85,058,304 × 85,058,304
  4. Step 4: Simplify right side
    39,309,696x = 7,234,915,079,356,416
  5. Step 5: Solve for x
    x = 7,234,915,079,356,416/39,309,696
  6. Step 6: Final answer
    x = 184,049,123.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.