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Finding the Third Proportional to 38,007,944 and 82,985,288

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Solution

The third proportional to 38,007,944 and 82,985,288 is: 181,187,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007,944 : 82,985,288 = 82,985,288 : x
  2. Step 2: Convert to fraction form
    38,007,944/82,985,288 = 82,985,288/x
  3. Step 3: Cross multiply
    38,007,944x = 82,985,288 × 82,985,288
  4. Step 4: Simplify right side
    38,007,944x = 6,886,558,024,442,944
  5. Step 5: Solve for x
    x = 6,886,558,024,442,944/38,007,944
  6. Step 6: Final answer
    x = 181,187,333.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.