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Finding the Third Proportional to 38,186,802 and 85,016,934

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Solution

The third proportional to 38,186,802 and 85,016,934 is: 189,276,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186,802 : 85,016,934 = 85,016,934 : x
  2. Step 2: Convert to fraction form
    38,186,802/85,016,934 = 85,016,934/x
  3. Step 3: Cross multiply
    38,186,802x = 85,016,934 × 85,016,934
  4. Step 4: Simplify right side
    38,186,802x = 7,227,879,066,760,356
  5. Step 5: Solve for x
    x = 7,227,879,066,760,356/38,186,802
  6. Step 6: Final answer
    x = 189,276,888.56

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.