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Finding the Third Proportional to 3,848,460 and 8,307,096

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Solution

The third proportional to 3,848,460 and 8,307,096 is: 17,931,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848,460 : 8,307,096 = 8,307,096 : x
  2. Step 2: Convert to fraction form
    3,848,460/8,307,096 = 8,307,096/x
  3. Step 3: Cross multiply
    3,848,460x = 8,307,096 × 8,307,096
  4. Step 4: Simplify right side
    3,848,460x = 69,007,843,953,216
  5. Step 5: Solve for x
    x = 69,007,843,953,216/3,848,460
  6. Step 6: Final answer
    x = 17,931,287.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.