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Finding the Third Proportional to 13,006,095 and 18,299,259

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Solution

The third proportional to 13,006,095 and 18,299,259 is: 25,746,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006,095 : 18,299,259 = 18,299,259 : x
  2. Step 2: Convert to fraction form
    13,006,095/18,299,259 = 18,299,259/x
  3. Step 3: Cross multiply
    13,006,095x = 18,299,259 × 18,299,259
  4. Step 4: Simplify right side
    13,006,095x = 334,862,879,949,081
  5. Step 5: Solve for x
    x = 334,862,879,949,081/13,006,095
  6. Step 6: Final answer
    x = 25,746,611.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.