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Finding the Third Proportional to 38,767,191 and 84,576,030

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Solution

The third proportional to 38,767,191 and 84,576,030 is: 184,514,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,191 : 84,576,030 = 84,576,030 : x
  2. Step 2: Convert to fraction form
    38,767,191/84,576,030 = 84,576,030/x
  3. Step 3: Cross multiply
    38,767,191x = 84,576,030 × 84,576,030
  4. Step 4: Simplify right side
    38,767,191x = 7,153,104,850,560,900
  5. Step 5: Solve for x
    x = 7,153,104,850,560,900/38,767,191
  6. Step 6: Final answer
    x = 184,514,396.48

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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.