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Finding the Third Proportional to 38,327,228 and 83,123,054

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Solution

The third proportional to 38,327,228 and 83,123,054 is: 180,275,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,327,228 : 83,123,054 = 83,123,054 : x
  2. Step 2: Convert to fraction form
    38,327,228/83,123,054 = 83,123,054/x
  3. Step 3: Cross multiply
    38,327,228x = 83,123,054 × 83,123,054
  4. Step 4: Simplify right side
    38,327,228x = 6,909,442,106,286,916
  5. Step 5: Solve for x
    x = 6,909,442,106,286,916/38,327,228
  6. Step 6: Final answer
    x = 180,275,028.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.