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Finding the Third Proportional to 7,653,099 and 11,601,117

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Solution

The third proportional to 7,653,099 and 11,601,117 is: 17,585,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653,099 : 11,601,117 = 11,601,117 : x
  2. Step 2: Convert to fraction form
    7,653,099/11,601,117 = 11,601,117/x
  3. Step 3: Cross multiply
    7,653,099x = 11,601,117 × 11,601,117
  4. Step 4: Simplify right side
    7,653,099x = 134,585,915,647,689
  5. Step 5: Solve for x
    x = 134,585,915,647,689/7,653,099
  6. Step 6: Final answer
    x = 17,585,806.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.