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Finding the Third Proportional to 38,767,184 and 84,576,016

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Solution

The third proportional to 38,767,184 and 84,576,016 is: 184,514,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,184 : 84,576,016 = 84,576,016 : x
  2. Step 2: Convert to fraction form
    38,767,184/84,576,016 = 84,576,016/x
  3. Step 3: Cross multiply
    38,767,184x = 84,576,016 × 84,576,016
  4. Step 4: Simplify right side
    38,767,184x = 7,153,102,482,432,256
  5. Step 5: Solve for x
    x = 7,153,102,482,432,256/38,767,184
  6. Step 6: Final answer
    x = 184,514,368.71

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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.