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Finding the Third Proportional to 11,809,095 and 17,652,163

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Solution

The third proportional to 11,809,095 and 17,652,163 is: 26,386,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809,095 : 17,652,163 = 17,652,163 : x
  2. Step 2: Convert to fraction form
    11,809,095/17,652,163 = 17,652,163/x
  3. Step 3: Cross multiply
    11,809,095x = 17,652,163 × 17,652,163
  4. Step 4: Simplify right side
    11,809,095x = 311,598,858,578,569
  5. Step 5: Solve for x
    x = 311,598,858,578,569/11,809,095
  6. Step 6: Final answer
    x = 26,386,345.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.