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Finding the Third Proportional to 5,970,102 and 9,005,103

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Solution

The third proportional to 5,970,102 and 9,005,103 is: 13,582,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970,102 : 9,005,103 = 9,005,103 : x
  2. Step 2: Convert to fraction form
    5,970,102/9,005,103 = 9,005,103/x
  3. Step 3: Cross multiply
    5,970,102x = 9,005,103 × 9,005,103
  4. Step 4: Simplify right side
    5,970,102x = 81,091,880,040,609
  5. Step 5: Solve for x
    x = 81,091,880,040,609/5,970,102
  6. Step 6: Final answer
    x = 13,582,997.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.