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Finding the Third Proportional to 38,767,186 and 84,576,020

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Solution

The third proportional to 38,767,186 and 84,576,020 is: 184,514,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,186 : 84,576,020 = 84,576,020 : x
  2. Step 2: Convert to fraction form
    38,767,186/84,576,020 = 84,576,020/x
  3. Step 3: Cross multiply
    38,767,186x = 84,576,020 × 84,576,020
  4. Step 4: Simplify right side
    38,767,186x = 7,153,103,159,040,400
  5. Step 5: Solve for x
    x = 7,153,103,159,040,400/38,767,186
  6. Step 6: Final answer
    x = 184,514,376.64

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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.