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Finding the Third Proportional to 38,277,843 and 83,995,863

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Solution

The third proportional to 38,277,843 and 83,995,863 is: 184,318,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277,843 : 83,995,863 = 83,995,863 : x
  2. Step 2: Convert to fraction form
    38,277,843/83,995,863 = 83,995,863/x
  3. Step 3: Cross multiply
    38,277,843x = 83,995,863 × 83,995,863
  4. Step 4: Simplify right side
    38,277,843x = 7,055,305,001,114,769
  5. Step 5: Solve for x
    x = 7,055,305,001,114,769/38,277,843
  6. Step 6: Final answer
    x = 184,318,249.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.